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Esscher principle - Revision history
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en>MPG IRA at 10:58, 23 January 2014
2014-01-23T10:58:50Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:58, 23 January 2014</td>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Good day. Enable me introduce the writer. Her title is Sherrill Traxler </del>and <del style="font-weight: bold; text-decoration: none;">she enjoys it. Her occupation is </del>a <del style="font-weight: bold; text-decoration: none;">manager. Arkansas </del>is <del style="font-weight: bold; text-decoration: none;">where </del>by <del style="font-weight: bold; text-decoration: none;">her residence is</del>. <del style="font-weight: bold; text-decoration: none;">Just one of her </del>[http://<del style="font-weight: bold; text-decoration: none;">thesaurus</del>.<del style="font-weight: bold; text-decoration: none;">com</del>/<del style="font-weight: bold; text-decoration: none;">browse</del>/<del style="font-weight: bold; text-decoration: none;">favourite+hobbies favourite hobbies</del>] is <del style="font-weight: bold; text-decoration: none;">to go to fitness but she hasn</del>'<del style="font-weight: bold; text-decoration: none;">t built </del>a <del style="font-weight: bold; text-decoration: none;">dime with it</del>. <del style="font-weight: bold; text-decoration: none;">She </del>is <del style="font-weight: bold; text-decoration: none;">operating </del>and <del style="font-weight: bold; text-decoration: none;">maintaining a weblog below: http</del>:/<del style="font-weight: bold; text-decoration: none;">/www</del>.<del style="font-weight: bold; text-decoration: none;">ruralalicante.es</del>/<del style="font-weight: bold; text-decoration: none;">lib</del>/<del style="font-weight: bold; text-decoration: none;">_notes</del>/<del style="font-weight: bold; text-decoration: none;">tmp/mbt/comprar-mbt-online</del>.<del style="font-weight: bold; text-decoration: none;">asp<br></del><<del style="font-weight: bold; text-decoration: none;">br</del>><del style="font-weight: bold; text-decoration: none;">Feel free to visit my homepage: </del>[http://www.<del style="font-weight: bold; text-decoration: none;">ruralalicante</del>.<del style="font-weight: bold; text-decoration: none;">es</del>/<del style="font-weight: bold; text-decoration: none;">lib</del>/<del style="font-weight: bold; text-decoration: none;">_notes</del>/<del style="font-weight: bold; text-decoration: none;">tmp</del>/<del style="font-weight: bold; text-decoration: none;">mbt</del>/<del style="font-weight: bold; text-decoration: none;">comprar-mbt</del>-<del style="font-weight: bold; text-decoration: none;">online.asp Comprar MBT Online]</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">In [[operator theory]], '''von Neumann's inequality''', due to [[John von Neumann]], states that, for a [[Contraction (operator theory)|contraction]] ''T'' acting on a [[Hilbert space]] </ins>and a <ins style="font-weight: bold; text-decoration: none;">polynomial ''p'', then the norm of ''p''(''T'') </ins>is <ins style="font-weight: bold; text-decoration: none;">bounded </ins>by <ins style="font-weight: bold; text-decoration: none;">the [[supremum]] of |''p''(''z'')| for ''z'' in the [[unit disk]]</ins>.<ins style="font-weight: bold; text-decoration: none;">"<ref></ins>[http://<ins style="font-weight: bold; text-decoration: none;">www.math</ins>.<ins style="font-weight: bold; text-decoration: none;">vanderbilt.edu</ins>/<ins style="font-weight: bold; text-decoration: none;">~colloq</ins>/ <ins style="font-weight: bold; text-decoration: none;">Department of Mathematics, Vanderbilt University Colloquium, AY 2007-2008]</ref> In other words, for a fixed contraction ''T'', the [[polynomial functional calculus</ins>]<ins style="font-weight: bold; text-decoration: none;">] map </ins>is <ins style="font-weight: bold; text-decoration: none;">itself a contraction. The inequality can be proved by considering the [[unitary dilation]] of ''T'</ins>'<ins style="font-weight: bold; text-decoration: none;">, for which the inequality is obvious.</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">This inequality is </ins>a <ins style="font-weight: bold; text-decoration: none;">specific case of Matsaev's conjecture</ins>. <ins style="font-weight: bold; text-decoration: none;">That </ins>is <ins style="font-weight: bold; text-decoration: none;">that for any polynomial ''P'' </ins>and <ins style="font-weight: bold; text-decoration: none;">contraction ''T'' on <math>L^p</math></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:<ins style="font-weight: bold; text-decoration: none;"><math>||P(T)||_{L^p} \le ||P(S)||_{\ell^p}<</ins>/<ins style="font-weight: bold; text-decoration: none;">math></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">where ''S'' is the right-shift operator</ins>. <ins style="font-weight: bold; text-decoration: none;">The von Neumann inequality proves it true for <math>p=2<</ins>/<ins style="font-weight: bold; text-decoration: none;">math> and for <math>p=1<</ins>/<ins style="font-weight: bold; text-decoration: none;">math> and <math>p=\infty<</ins>/<ins style="font-weight: bold; text-decoration: none;">math> it is true by straightforward calculation. </ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">S.W.&nbsp;Drury has recently shown that the conjecture fails in the general case</ins>.<<ins style="font-weight: bold; text-decoration: none;">ref</ins>>[http://www.<ins style="font-weight: bold; text-decoration: none;">sciencedirect</ins>.<ins style="font-weight: bold; text-decoration: none;">com</ins>/<ins style="font-weight: bold; text-decoration: none;">science</ins>/<ins style="font-weight: bold; text-decoration: none;">article</ins>/<ins style="font-weight: bold; text-decoration: none;">pii</ins>/<ins style="font-weight: bold; text-decoration: none;">S0024379511000589 S.W. Drury, "A counterexample to a conjecture of Matsaev", Linear Algebra and its Applications, Volume 435, Issue 2, 15 July 2011, Pages 323-329 ]</ref></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
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<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Operator theory]]</ins></div></td></tr>
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<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">{{mathanalysis</ins>-<ins style="font-weight: bold; text-decoration: none;">stub}}</ins></div></td></tr>
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en>WikitanvirBot: r2.7.1) (robot Adding: ja:エッシャー原理
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<p>r2.7.1) (robot Adding: <a href="/w/index.php?title=Ja:%E3%82%A8%E3%83%83%E3%82%B7%E3%83%A3%E3%83%BC%E5%8E%9F%E7%90%86&action=edit&redlink=1" class="new" title="Ja:エッシャー原理 (page does not exist)">ja:エッシャー原理</a></p>
<p><b>New page</b></p><div>Good day. Enable me introduce the writer. Her title is Sherrill Traxler and she enjoys it. Her occupation is a manager. Arkansas is where by her residence is. Just one of her [http://thesaurus.com/browse/favourite+hobbies favourite hobbies] is to go to fitness but she hasn't built a dime with it. She is operating and maintaining a weblog below: http://www.ruralalicante.es/lib/_notes/tmp/mbt/comprar-mbt-online.asp<br><br>Feel free to visit my homepage: [http://www.ruralalicante.es/lib/_notes/tmp/mbt/comprar-mbt-online.asp Comprar MBT Online]</div>
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