Dilations of linear maps on vector spaces

DOI10.7153/oam-2022-16-36OpenAlexW3152716080MaRDI QIDQ5882480

P. Sam Johnson, K. Mahesh Krishna

Publication date: 16 March 2023

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.07544

zbMATH Keywords

dilationvector spacelinear map

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

Generalized Choi-Kraus dilations of linear maps between matrix algebras, Liftings and dilations of commuting systems of linear mappings on vector spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inverses of \(2\times 2\) block matrices
• Dilations of operator-valued measures with bounded \(p\)-variations and framings on Banach spaces
• A note on the description of frames of general form
• Structural properties of homomorphism dilation systems
• A caricature of dilation theory
• Dilation theory in finite dimensions: the possible, the impossible and the unknown
• Harmonic analysis of operators on Hilbert space
• Dilations of frames, operator valued measures and bounded linear maps
• Dilation theory yesterday and today
• Frames, bases and group representations
• Framings and dilations
• Remarks on Naimark’s duality
• On unitary dilations of contractions
• Positive Functions on C ∗ -Algebras