On the geometric structure of minimal dilations on Hilbert \(C^*\)-modules

DOI10.4171/ZAA/828zbMath0914.47006MaRDI QIDQ1393100

Dan Popovici

Publication date: 23 June 1999

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

unitary extensionadjointable contractionisometry on a Hilbert \(C^*\)-moduleWold-type decomposition

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Dilations, extensions, compressions of linear operators (47A20) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (1)

Wold-Słociński decompositions for commuting isometric triples

Cites Work

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• Induced representations of C\(^*\)-algebras
• The unitary dilat ion of a contraction operator
• A Note on Dilations in Modules over C^* -Algebras
• Unitary Operators on Hilbert C^* -Modules
• On Generalized Positive-Definite Functions
• Inner Product Modules Over B ∗ -Algebras
• Modules Over Operator Algebras
• On unitary dilations of contractions
• Positive Functions on C ∗ -Algebras

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