Weighted translation semigroups: multivariable case

DOI10.1007/s44146-023-00085-8arXiv1902.01708OpenAlexW2971908819MaRDI QIDQ6111854

V. M. Sholapurkar, Geetanjali M. Phatak

Publication date: 4 August 2023

Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01708

zbMATH Keywords

completely hyperexpansiveTaylor spectrumanalyticweighted translation semigroup

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Subnormal operators, hyponormal operators, etc. (47B20) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Cites Work

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• Rigidity theorems for spherical hyperexpansions
• Subnormal weighted translation semigroups
• Weighted translation semigroups
• Completely hyperexpansive operator tuples
• An operator-valued kernel associated with a commuting tuple of Hilbert space operators
• Wold-type decompositions and wandering subspaces for operators close to isometries
• Multishifts on directed Cartesian products of rooted directed trees
• An analytic model for left invertible weighted translation semigroups
• On Joint Hyponormality of Operators
• Hyperexpansive weighted translation semigroups

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