Pairs of commuting isometries, I

DOI10.4064/sm180111-14-8zbMath1486.47011arXiv1708.02609OpenAlexW2963209715WikidataQ128258785 ScholiaQ128258785MaRDI QIDQ5226525

Amit Maji, Jaydeb Sarkar, T. R. Sankar

Publication date: 31 July 2019

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

Full work available at URL: https://arxiv.org/abs/1708.02609

zbMATH Keywords

Hardy spacemultiplierscommutatorsisometriesdefect operatorscommuting pairs

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Dilations, extensions, compressions of linear operators (47A20) Structure theory of linear operators (47A65) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (7)

The joint spectrum for a commuting pair of isometries in certain cases ⋮ Numerical radius and Berezin number inequality ⋮ Wold-type decomposition for \(\mathcal{U}_n\)-twisted contractions ⋮ On decomposition for pairs of twisted contractions ⋮ Schur functions and inner functions on the bidisc ⋮ A caricature of dilation theory ⋮ Doubly commuting mixed invariant subspaces in the polydisc

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