Completely contractive Hilbert modules and Parrott's example

DOI10.1007/BF01874134zbMath0811.46049OpenAlexW2056104699MaRDI QIDQ1320455

Gadadhar Misra

Publication date: 19 April 1995

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01874134

zbMATH Keywords

2-contractive modulecompletely contractive Hilbert moduleParrott's example

Mathematics Subject Classification ID

Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items

Contractive homomorphisms and tensor product norms, Curvature inequalities for operators of the Cowen-Douglas class, Curvature inequalities for operators in the Cowen-Douglas class and localization of the Wallach set, On isometric embedding ℓpm→S∞ and unique operator space structure, Representations of function algebras, abstract operator spaces, and Banach space geometry, Some thoughts on Ando's theorem and Parrott's example

Cites Work

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• Operator theory and the Carathéodory metric
• Bounded modules, extremal problems, and a curvature inequality
• Completely bounded modules and associated extremal problems
• Tensor products of operator spaces
• Lifting commuting operators
• Unitary dilations for commuting contractions