Some Operator Theoretic Calculus for Positive Definite Kernels

DOI10.2307/2048691zbMath0758.47026OpenAlexW4249635123MaRDI QIDQ3981082

Ameer Athavale

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.2307/2048691

zbMATH Keywords

reproducing kerneldiagonal positive definite kernels

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (22)

Weighted shift and composition operators on \(\ell_{p}\) which are \((m,q)\)-isometries ⋮ Ergodic and dynamical properties of \(m\)-isometries ⋮ On \(k\)-hyperexpansive operators ⋮ The structure of m-isometric weighted shift operators ⋮ Conditional positive definiteness in operator theory ⋮ Rigidity theorems for spherical hyperexpansions ⋮ Weighted shift operators which are \(m\)-isometries ⋮ Dirichlet spaces associated with locally finite rooted directed trees ⋮ \(m\)-isometric weighted shifts and reflexivity of some operators ⋮ Functional models up to similarity and \(a\)-contractions ⋮ Isometric $N$-Jordan weighted shift operators ⋮ On quasi-2-isometric operators ⋮ On \((m,C)\)-isometric operators ⋮ Module tensor product of subnormal modules need not be subnormal ⋮ On completely hyperexpansive operators ⋮ An isometry plus a nilpotent operator is an \(m\)-isometry. Applications ⋮ Unnamed Item ⋮ \(m\)-isometric operators and their local properties ⋮ Some examples of \(m\)-isometries ⋮ Functional calculus for m-isometries and related operators on Hilbert spaces and Banach spaces ⋮ Invertible weighted shift operators which are 𝑚-isometries ⋮ The \((m,q)\)-isometric weighted shifts on \(l_{p}\) spaces

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