Operator positivity and analytic models of commuting tuples of operators

DOI10.4064/sm8437-2-2016zbMath1385.47007arXiv1502.00670OpenAlexW2963294175MaRDI QIDQ2804314

Monojit Bhattacharjee, Jaydeb Sarkar

Publication date: 28 April 2016

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00670

zbMATH Keywords

reproducing kernel Hilbert spacesmultipliersinvariant subspacesweighted Bergman spaceshypercontractions

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Invariant subspaces of linear operators (47A15) Dilations, extensions, compressions of linear operators (47A20) Linear operators on function spaces (general) (47B38) Canonical models for contractions and nonselfadjoint linear operators (47A45) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Tensor products of linear operators (47A80)

Related Items (1)

Operator inequalities implying similarity to a contraction

Cites Work

• Unnamed Item
• A Beurling type theorem in weighted Bergman spaces
• Tensor product of quotient Hilbert modules
• On an intertwining lifting theorem for certain reproducing kernel Hilbert spaces
• Standard Models for some Commuting Multioperators
• Analytic models for commuting operator tuples on bounded symmetric domains
• A von Neumann type inequality for certain domains in $\mathbf C^n$
• Analytic model of doubly commuting contractions

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