Spherical tuples of Hilbert space operators

DOI10.1512/iumj.2015.64.5471zbMath1325.47013arXiv1401.0487OpenAlexW2016510659MaRDI QIDQ5262908

Sameer Chavan, Dmitry V. Yakubovich

Publication date: 10 July 2015

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.0487

zbMATH Keywords

Taylor spectrumjointly hyponormalspherical tupleessential \(p\)-normalityjoint q-isometry

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Subnormal operators, hyponormal operators, etc. (47B20) Commutators, derivations, elementary operators, etc. (47B47) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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A trace inequality for commuting \(d\)-tuples of operators ⋮ \(\mathbb{K}\)-homogeneous tuple of operators on bounded symmetric domains ⋮ Commuting tuple of multiplication operators homogeneous under the unitary group ⋮ Dirichlet-type spaces on the unit ball and joint 2-isometries ⋮ Toeplitz C ∗-Algebras on Boundary Orbits of Symmetric Domains ⋮ A moment problem and joint \(q\)-isometry tuples ⋮ An analytic model for left-invertible weighted shifts on directed trees: Table 1. ⋮ Unitary equivalence of operator-valued multishifts

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