Submodules of the Hardy module over the polydisc

DOI10.1007/s11856-014-1122-zzbMath1337.46037arXiv1304.1564OpenAlexW1988086146MaRDI QIDQ2339734

Jaydeb Sarkar

Publication date: 2 April 2015

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.1564

zbMATH Keywords

Hardy spacepolydiscHilbert moduleinner function

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Linear operators on function spaces (general) (47B38) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (8)

An Introduction to Hilbert Module Approach to Multivariable Operator Theory ⋮ Applications of Hilbert Module Approach to Multivariable Operator Theory ⋮ A note on Rudin's pathological submodule in \(H^{2}({\mathbb {D}}^2)\) ⋮ Dilation theory and analytic model theory for doubly commuting sequences of \(C_{\cdot 0}\)-contractions ⋮ Pairs of inner projections and two applications ⋮ Star-generating vectors of Rudin's quotient modules ⋮ Tensor product of quotient Hilbert modules ⋮ Survey of last ten years of work done in India in some selected areas of functional analysis and operator theory

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