On the duals of Szegö and Cauchy tuples

DOI10.1090/S0002-9939-2010-10482-3zbMath1218.47034MaRDI QIDQ3082317

Ameer Athavale, Pramod D. Patil

Publication date: 10 March 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

spherical harmonicsKoszul complexquasisimilaritysubnormal tuple

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Subnormal operators, hyponormal operators, etc. (47B20) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Spherical harmonics (33C55)

Related Items (3)

On the multiplication tuples related to certain reproducing kernel Hilbert spaces ⋮ Dual Toeplitz operators on the sphere via spherical isometries ⋮ Survey of last ten years of work done in India in some selected areas of functional analysis and operator theory

Cites Work

• On the duals of subnormal tuples
• The spectral picture of Reinhardt measures
• Quasisimilarity-invariance of joint spectra for certain subnormal tuples
• Fredholm and Invertible n-Tuples of Operators. The Deformation Problem
• Spectral Inclusion for Doubly Commuting Subnormal n-Tuples
• On the index of invariant subspaces in spaces of analytic functions of several complex variables
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