Von Neumann\'s inequality for commuting weighted shifts

DOI10.1512/iumj.2017.66.6074OpenAlexW2467233913MaRDI QIDQ5367009

Michael Hartz

Publication date: 12 October 2017

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

Full work available at URL: https://arxiv.org/abs/1508.01260

zbMATH Keywords

commuting contractionsvon Neumann's inequalityunitary dilationmultivariable shift

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Dilations, extensions, compressions of linear operators (47A20)

Related Items (7)

Shift operators on harmonic Hilbert function spaces on real balls and von Neumann inequality ⋮ On reducing submodules of Hilbert modules with \(\mathfrak{S}_n\)-invariant kernels ⋮ Geometric dilations and operator annuli ⋮ Von Neumann’s inequality for commuting operator-valued multishifts ⋮ Commutants and reflexivity of multiplication tuples on vector-valued reproducing kernel Hilbert spaces ⋮ Cyclicity of nonvanishing functions in the polydisk and in the ball ⋮ Unitary equivalence of operator-valued multishifts

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