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				<div style="text-align:left;margin-bottom:20px;">  		</div><span itemprop="name" class="title">Grundkurs Funktionalanalysis<br></span><p>Autoren:<br><span itemprop="author" class="author"><b>Winfried Kaballo</b></span></p><p>Verlag:<br><b itemprop="publisher">Spektrum-Akademischer Vlg</b>&nbsp;&nbsp;<a onclick="SearchPublEnt(680)" href="#">Weitere Titel dieses Verlages anzeigen</a></p>		
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<span class="notbold">Auflage: </span>2011. 2011.<br><span class="notbold">Erschienen: </span>März 2011<br><span class="notbold">Seiten: </span>345<br><span class="notbold">Sprache: </span>Deutsch<br><span class="notbold">Preis: </span>9.99 €<br><span class="notbold">Illustration: </span>75 schwarz-weiße Abbildungen
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						<h1><a href="_9783827421494_inhalt.html">Inhaltsverzeichnis</a></h1>
						<p><table><tr><td></td><td>Einleitung.....................................................• • •</td><td>1</td></tr><tr><td></td><td>I Banachräume und lineare Operatoren</td><td>7</td></tr><tr><td>1</td><td>Banachräume</td><td>8</td></tr><tr><td>1.1</td><td>Normen und Metriken</td><td>8</td></tr><tr><td>1.2</td><td>Supremums-Normen</td><td>13</td></tr><tr><td>1.3</td><td>Lp-Normen und Quotientenräume</td><td>15</td></tr><tr><td>1.4</td><td>Aufgaben</td><td>23</td></tr><tr><td>2</td><td>Kompakte Mengen</td><td>26</td></tr><tr><td>2.1</td><td>Der Satz von Arzelä-Ascoli</td><td>27</td></tr><tr><td>2.2</td><td>Separable Räume und ein Approximationssatz</td><td>31</td></tr><tr><td>2.3</td><td>Holder- und Sobolev-Normen</td><td>35</td></tr><tr><td>2.4</td><td>Aufgaben</td><td>38</td></tr><tr><td>3</td><td>Lineare Operatoren</td><td>41</td></tr><tr><td>3.1</td><td>Operatornormen</td><td>41</td></tr><tr><td>3.2</td><td>Isomorphien und Fortsetzungen</td><td>45</td></tr><tr><td>3.3</td><td>Lineare Operatoren auf endlichdimensionalen Räumen</td><td>48</td></tr><tr><td>3.4</td><td>Lineare Integral- und Differentialoperatoren</td><td>52</td></tr><tr><td>3.5</td><td>Aufgaben</td><td>55</td></tr><tr><td>4</td><td>Kleine Störungen</td><td>59</td></tr><tr><td>4.1</td><td>Banachalgebren und Neumannsche Reihe</td><td>59</td></tr><tr><td>4.2</td><td>Lineare Integralgleichungen</td><td>62</td></tr><tr><td>4.3</td><td>Grundlagen der Spektraltheorie</td><td>64</td></tr><tr><td>4.4</td><td>Der Banachsche Fixpunktsatz</td><td>69</td></tr><tr><td>4.5</td><td>Nicht lineare Integralgleichungen</td><td>71</td></tr><tr><td>4.6</td><td>Der Satz von Picard-Lindelöf</td><td>73</td></tr><tr><td>4.7</td><td>Aufgaben</td><td>75</td></tr><tr><td></td><td>II Fourier-Reihen und Hilberträume</td><td>81</td></tr><tr><td>5</td><td>Fourier-Reihen und Approximationssätze</td><td>82</td></tr><tr><td>5.1</td><td>Der Satz von Fejer</td><td>85</td></tr><tr><td>5.2</td><td>Faltung und Dirac-Folgen</td><td>89</td></tr><tr><td>5.3</td><td>Der Weierstraßsche Approximationssatz</td><td>91</td></tr><tr><td>5.4</td><td>Schwache Ableitungen und Sobolev-Räume</td><td>93</td></tr><tr><td>5.5</td><td>Punktweise Konvergenz von Fourier-Reihen</td><td>99</td></tr><tr><td>5.6</td><td>Aufgaben</td><td>101</td></tr><tr><td>6</td><td>Hilberträume</td><td>105</td></tr><tr><td>6.1</td><td>Die Parsevalsche Gleichung</td><td>108</td></tr><tr><td>6.2</td><td>Sobolev-Hilberträume und Fourier-Koeffizienten</td><td>113</td></tr><tr><td>6.3</td><td>Aufgaben</td><td>120</td></tr><tr><td>7</td><td>Lineare Operatoren auf Hilbert räumen</td><td>123</td></tr><tr><td>7.1</td><td>Lineare Operatoren und Matrizen</td><td>123</td></tr><tr><td>7.2</td><td>Orthogonale Projektionen</td><td>125</td></tr><tr><td>7.3</td><td>Adjungierte Operatoren</td><td>130</td></tr><tr><td>7.4</td><td>Selbstadjungierte und unitäre Operatoren</td><td>135</td></tr><tr><td>7.5</td><td>Aufgaben</td><td>139</td></tr><tr><td></td><td>III Prinzipien der Funktionalanalysis</td><td>143</td></tr><tr><td>8</td><td>Konsequenzen der Vollständigkeit</td><td>144</td></tr><tr><td>8.1</td><td>Der Satz von Baire</td><td>144</td></tr><tr><td>8.2</td><td>Das Prinzip der gleichmäßigen Beschränktheit</td><td>148</td></tr><tr><td>8.3</td><td>Der Satz von der offenen Abbildung</td><td>150</td></tr><tr><td>8.4</td><td>Anwendungen auf Fourier-Reihen</td><td>155</td></tr><tr><td>8.5</td><td>Aufgaben</td><td>158</td></tr><tr><td>9</td><td>Stetige lineare Funktionale</td><td>161</td></tr><tr><td>9.1</td><td>Der Fortsetzungssatz von Hahn-Banach</td><td>161</td></tr><tr><td>9.2</td><td>Duale Operatoren und Annihilatoren</td><td>166</td></tr><tr><td>9.3</td><td>Kanonische Einbettung und reflexive Räume</td><td>167</td></tr><tr><td>9.4</td><td>Beispiele von Dualräumen</td><td>171</td></tr><tr><td>9.5</td><td>Stetige Projektionen</td><td>175</td></tr><tr><td>9.6</td><td>Aufgaben</td><td>179</td></tr><tr><td>10</td><td>Schwache Konvergenz</td><td>182</td></tr><tr><td>10.1</td><td>Variationsprobleme</td><td>182</td></tr><tr><td>10.2</td><td>Trennung konvexer Mengen</td><td>186</td></tr><tr><td>10.3</td><td>Uniform konvexe Räume</td><td>190</td></tr><tr><td>10.4</td><td>Schwach konvergente Folgen</td><td>194</td></tr><tr><td>10.5</td><td>Schwach konvergente Teilfolgen</td><td>198</td></tr><tr><td>10.6</td><td>Aufgaben</td><td>202</td></tr><tr><td></td><td>IV Spektraltheorie kompakter und selbstadjungierter Operatoren</td><td>207</td></tr><tr><td>11</td><td>Fredholmoperatoren und kompakte Störungen</td><td>207</td></tr><tr><td>11.1</td><td>Kompakte lineare Operatoren</td><td>208</td></tr><tr><td>11.2</td><td>Fredholmoperatoren</td><td>214</td></tr><tr><td>11.3</td><td>Stabilität des Index</td><td>219</td></tr><tr><td>11.4</td><td>Spektren kompakter Operatoren</td><td>223</td></tr><tr><td>11.5</td><td>Aufgaben</td><td>225</td></tr><tr><td>12</td><td>Spektralzerlegungen</td><td>229</td></tr><tr><td>12.1</td><td>Modelle kompakter Operatoren</td><td>229</td></tr><tr><td>12.2</td><td>Der Spektralsatz für kompakte normale Operatoren</td><td>232</td></tr><tr><td>12.3</td><td>Hilbert-Schmidt-Operatoren</td><td>237</td></tr><tr><td>12.4</td><td>Singuläre Zahlen und Schmidt-Darstellungen</td><td>241</td></tr><tr><td>12.5</td><td>Schatten-Klassen und Integraloperatoren</td><td>246</td></tr><tr><td></td><td><div></td><td></td></tr><tr><td>12.6</td><td>Aufgaben</td><td>251</td></tr><tr><td>13</td><td>Unbeschränkte Operatoren</td><td>256</td></tr><tr><td>13.1</td><td>Abgeschlossene Operatoren</td><td>257</td></tr><tr><td>13.2</td><td>Adjungierte Operatoren</td><td>264</td></tr><tr><td>13.3</td><td>Symmetrische und selbst adjungierte Operatoren</td><td>267</td></tr><tr><td>13.4</td><td>Reguläre Sturm-Liouville-Probleme</td><td>272</td></tr><tr><td>13.5</td><td>Evolutionsgleichungen</td><td>280</td></tr><tr><td>13.6</td><td>Selbst adjungierte Operatoren und Quantenmechanik</td><td>283</td></tr><tr><td>13.7</td><td>Aufgaben</td><td>287</td></tr><tr><td></td><td>A Anhang</td><td>291</td></tr><tr><td></td><td>A.l Lineare Algebra</td><td>291</td></tr><tr><td></td><td>A.2 Metrische Räume und Kompaktheit</td><td>296</td></tr><tr><td></td><td>A.3 Maße und Integrale</td><td>304</td></tr><tr><td></td><td>A.3.1 Fortsetzung elementarer Integrale</td><td>306</td></tr><tr><td></td><td>A.3.2 Konvergenzsätze</td><td>312</td></tr><tr><td></td><td>A.3.3 Messbare Mengen und Funktionen</td><td>314</td></tr><tr><td></td><td>A.3.4 Die Sätze von Fubini und Tonelli</td><td>319</td></tr><tr><td></td><td>A.3.5 Der Rieszsche Darstellungssatz</td><td>324</td></tr><tr><td></td><td>Literaturverzeichnis</td><td>329</td></tr><tr><td></td><td>Index</td><td>331</td></tr><tr><td></td><td></td><td></td></tr></table></p>
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  <!-- JavaScript at the bottom for fast page loading -->

  <!-- Grab Google CDN's jQuery, with a protocol relative URL; fall back to local if offline 
//  <script src="//ajax.googleapis.com/ajax/libs/jquery/1.7.1/jquery.min.js"></script>
//  <script>window.jQuery || document.write('<script src="js/libs/jquery-1.7.1.min.js"><\/script>')</script>
	-->	
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	<script src="js/libs/jtabs/js/jaegers.js"></script>
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<!--
	<script src="js/libs/sly-master/jquery.sly.js"></script>  
-->		
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  <script type="text/javascript">
    function FixedStart()
      {
      shelf_book_ean = "9783827421494"; SearchOpen("@@autocat", "9783827421494")      }

	if ($('#TopMenuContainer').is('*')) {
	  $('#TopMenuContainer').load('treemenu_JS.php', function() {
		jQuery(".topMmenu").megamenu();
		$('#tabContent').html($('#tab1Content').html());
	});
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	if ($('#fullResultList').is('*')) {
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// Calling jTabs
/*
(function ($) {
    $(document).ready(function () {
        // Horizontal Tabs
        $('.tabs-x').jTabs({
            marker: false
        });
    });
}(Jaegers));	  
*/







	  
//works but switched off now, in use is Photoslider block	  
/*
			var sly = new Sly($('.sly'), 
				{
				horizontal: 1,
				itemNav: "forceCentered",
				dragHandle: 1,
				dynamicHandle: 1,
				drag: 1,
				scrollBy: 1,
				speed: 500,
				//easing: "easeOutBack" // with jQuery Easing plugin
			}).init(); // Has to be initiated
*/





		// -----------------------------------------------------------------------------------
		//   Photoslider
		// -----------------------------------------------------------------------------------

				// Function for populating lists with placeholder items
				function populate(container, count, offset) {

					var output = '';

					offset = isNaN(offset) ? 0 : offset;

					for (var i = 0; i < count; i++) {
						output += '<li>' + (offset + i) + '</li>';
					}

					return $(output).appendTo(container);

				}

				// Populate list items
				$('ul[data-items]').each(function (i, element) {

					var items = parseInt($(element).data('items'), 10);

					//not needed at the moment, fills slider with Dummy data
					//populate(element, items);

				});


			
				
				
				// Call sly instances

					var $cont = $('#Photoscroll'),
						$frame = $cont.find(".sly"),
						$slidee = $frame.find("ul"),
						$scrollbar = $cont.find(".scrollbar"),
						$pagesbar = $cont.find(".pages"),
						options = {}, //$frame.data("options"),

						$controls = $cont.find(".controls"),
						$prevButton = $controls.find(".prev"),
						$nextButton = $controls.find(".next"),
						$prevPageButton = $controls.find(".prevPage"),
						$nextPageButton = $controls.find(".nextPage");

					$.extend(options, {
						itemNav: "forceCentered",
						horizontal:1,
						smart: 1,
						activateMiddle: 1,
						activateOn: 'click',
mouseDragging: 1,
touchDragging: 1,
interactive: ['a'],
releaseSwing: 1,
startAt: 0,
//scrollBy: 1, //enable mouse scroll
speed: 500,
elasticBounds: 1,
easing: 'easeOutBack',
dragHandle: 1,
dynamicHandle: 1,
clickBar: 1, 
 //data-options='{ "horizontal":1, "itemNav": "forceCentered", "dragHandle": 1,"dynamicHandle": 1, "dragging": 1, "mouseDragging": 1, "touchDragging": 1, "speed": 500, "clickBar":1, "easing": "easeOutBack"}'
 
 
 						scrollBar: $scrollbar,
						pagesBar: $pagesbar,

						prev: $prevButton,
						next: $nextButton,
						prevPage: $prevPageButton,
						nextPage: $nextPageButton,
						disabledClass: 'btn-disabled'
					});

					
var container = document.getElementById('Photoscroll');
var sly_timer = null;
var sly_img_timer = null;

//imagesLoaded(container, function(){					
					
					// Call sly
					$frame.sly(options, {
					move: function (evn) {
					  if (this.pos.cur > this.pos.end - 1000) CacheNextCovers();  //.max changed to .end
					  if (sly_img_timer) clearTimeout(sly_img_timer);
					  else $('#imgScroll').hide();
					  sly_img_timer = setTimeout(function() { 
						sly_img_timer = null;
						$('#imgScroll').css({width:0});
						$('#imgScroll').css({left:findRightCorner('.slidee li.active')});
						$('#imgScroll').show().animate({ width: 48}, 'fast');
						//$('#imgScroll').show(); 
					  }, 500);
					  for (var i=0; i<this.items.length; i++)
					    {
					    var pos = this.items[i].center - this.pos.cur;
					    if (pos > -3000 && pos < 3000)
					      {
					      $(this.items[i].el.firstChild.childNodes[1]).load(function () {$(this).addClass('imgloaded')});
					      this.items[i].el.firstChild.childNodes[1].src = $(this.items[i].el.firstChild.childNodes[1]).attr('url');
					      }
					    }
 					  }, 
					active: function (evn, item) {
					  if (sly_timer) clearTimeout(sly_timer);
					  sly_timer = setTimeout(function() { sly_timer = null; OpenNewCover()}, 250);
					  }
					});

					// Bind controls
					$cont.find("button").click(function () {

						var action = $(this).data('action'),
							arg = $(this).data('arg');

						switch (action) {
							case 'add':
								var children = $slidee.children().length,
									$item = $('<li>'+children+'</li>');
								$slidee.append($item);
								$frame.sly('reload');
							break;

							case 'remove':
								$slidee.children().slice(-1).remove();
								$frame.sly('reload');
							break;

							default:
								$frame.sly(action, arg);
						}
					});
//});

$().UItoTop({ easingType: 'easeOutQuart' }); 

//Dropdown plugin data
var ddData = [
    {
        text: "Suche in Titel, Autor, Verlag",
        value: 0,
        selected: false,
        description: "",
        imageSrc: ""
    },
    {
        text: "Suche auch im Buchinhalt",
        value: 1,
        selected: false,
        description: "Durchsucht auch Inhaltsverzeichnisse, Register, Klappentexte, Vorworte, Autoreninformationen",
        imageSrc: ""
    }
];

var SearchArea = 0;

$('#selectDropdown').ddslick({
    data: ddData,
    width: 100,
    imagePosition: "left",
    selectText: "Suche in",
        defaultSelectedIndex: 0,
        truncateDescription: true,
        showSelectedHTML: false,	
	
	
    onSelected: function (data) {
        if (SearchArea != data.selectedIndex)
          {
          SearchArea = data.selectedIndex;
          Search();
          }
    }
});

var GoToCart = 1;	// 0 = remember, 1 = direct
var NoCart = 0;
var count_max = 0;
var lang_filter = -1;
  
  </script>
  
  

  
  
  
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