Comments on: C*-Algebras and Operator Theory: 2.4 Compact Hilbert Space Operators
https://jpmccarthymaths.com/2011/01/18/c-algebras-and-operator-theory-2-4-compact-hilbert-space-operators/
Last year's maths is easy, this year's maths is hard and next year's maths is impossible.Mon, 09 Jan 2012 12:58:35 +0000
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By: Representations of C*-Algebras: Irreducible Representations and Pure States « J.P. McCarthy: Math Page
https://jpmccarthymaths.com/2011/01/18/c-algebras-and-operator-theory-2-4-compact-hilbert-space-operators/#comment-128
Wed, 05 Oct 2011 14:13:36 +0000http://jpmccarthymaths.wordpress.com/?p=483#comment-128[…] that the operator is positive. Since is a compact normal operator (), it is diagonalisable by Theorem 2.4.4; that is, there is an orthonormal basis and there is a family of scalars such that . Choose . […]
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By: Von Neumann Algebras: The Weak and Ultraweak Topologies « J.P. McCarthy: Math Page
https://jpmccarthymaths.com/2011/01/18/c-algebras-and-operator-theory-2-4-compact-hilbert-space-operators/#comment-103
Wed, 06 Jul 2011 15:33:20 +0000http://jpmccarthymaths.wordpress.com/?p=483#comment-103[…] be a Hilbert space, and suppose that . It follows from Theorem 2.4.16 (http://irishjip.wordpress.com/2011/01/18/c-algebras-and-operator-theory-2-4-compact-hilbert-space-op…) that the […]
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