On unitarily equivalent submodules

DOI10.1512/IUMJ.2008.57.3406zbMath1172.46015arXiv0707.3122OpenAlexW1963936794MaRDI QIDQ3606159

Jaydeb Sarkar, Ronald G. Douglas

Publication date: 26 February 2009

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

Full work available at URL: https://arxiv.org/abs/0707.3122

zbMATH Keywords

invariant subspaceisometryHilbert modulerekproducing kernel Hilbert spaceSilov module

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (8)

Multivariable Beurling–Lax representations: the commutative and free noncommutative settings ⋮ Kreĭn space representation and Lorentz groups of analytic Hilbert modules ⋮ An Introduction to Hilbert Module Approach to Multivariable Operator Theory ⋮ Applications of Hilbert Module Approach to Multivariable Operator Theory ⋮ A dual geometric theory for bundle shifts ⋮ Factorizations of kernels and reproducing kernel Hilbert spaces ⋮ Resolutions of Hilbert modules and similarity ⋮ Survey of last ten years of work done in India in some selected areas of functional analysis and operator theory

This page was built for publication: On unitarily equivalent submodules