Characterizations of Hilbert space and the Vidav-Palmer theorem

DOI10.1216/RMJ-2013-43-4-1337zbMath1294.46048OpenAlexW1994065280MaRDI QIDQ370867

Philip G. Spain

Publication date: 20 September 2013

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1378730051

zbMATH Keywords

\(C^*\)-algebraHilbert spaceVidav-Palmer theoremHermitian element

Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15) General theory of (C^*)-algebras (46L05)

Cites Work

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• Eine metrische Kennzeichnung der selbstadjungierten Operatoren
• Locally \(C^*\)-equivalent algebras
• Some characterizations of \(C^ *\)-algebras
• A metric characterization of \(C(X)\) and its generalization to \(C^ *\)- algebras
• A note on unitary operators in \(C^ *\)-algebras
• Action of \(W^*\)-algebras in Banach spaces
• On the complemented subspaces problem
• Banach algebras with involution
• Banach algebras with involution and Möbius transformations
• On inner products in linear, metric spaces
• The multiplicative structure of 𝐽-contractive matrix functions
• Semi-Inner-Product Spaces
• Shorter Notes: An Elementary Proof of the Russo-Dye Theorem
• The Numerical Range of an Unbounded Operator
• Characterizations of 𝐶*-algebras
• A Characterization of Complex Hilbert Spaces
• Hermitian Projections and Orthogonality in Banach Spaces
• Locally B ∗ -Equivalent Algebras
• A characterization of euclidean spaces
• Ring and lattice characterizations of complex Hilbert space
• Über den Operatorenring Banachscher Räume

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