Regular covariant representations and their Wold-type decomposition

DOI10.1016/j.jmaa.2022.126997OpenAlexW4313557276MaRDI QIDQ2688699

Azad Rohilla, Shankar Veerabathiran, Harsh Trivedi

Publication date: 3 March 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.13198

zbMATH Keywords

Moore-Penrose inversecovariant representationsreduced minimum modulusHilbert \(C^\ast\)-modulesWold decompositionwandering subspaces

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46Lxx) Linear spaces and algebras of operators (47Lxx) General theory of linear operators (47Axx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Matricial function theory and weighted shifts
• Models for noncommuting operators
• Simple \(C^*\)-algebras generated by isometries
• Tensor algebras over \(C^*\)-correspondences: Representations, dilations, and \(C^*\)-envelopes
• Wandering subspace theorems
• The reduced minimum modulus
• On the generalized resolvent in Banach spaces
• Generating wandering subspaces for doubly commuting covariant representations
• Wold-type decomposition for some regular operators
• On two problems concerning linear transformations in Hilbert space
• Wold-type decompositions and wandering subspaces for operators close to isometries
• Isometric Dilations for Infinite Sequences of Noncommuting Operators
• Shifts on Hilbert spaces.
• WOLD DECOMPOSITION FOR REPRESENTATIONS OF PRODUCT SYSTEMS OF C*-CORRESPONDENCES
• Invariant subspaces of the Dirichlet shift.
• Tensor Algebras, Induced Representations, and the Wold Decomposition
• Wold-type decomposition for bi-regular operators
• Inner Product Modules Over B ∗ -Algebras

This page was built for publication: Regular covariant representations and their Wold-type decomposition