Unbounded Toeplitz operators in the Bargmann-Segal space

DOI10.4064/SM-99-2-87-99zbMath0766.47004OpenAlexW1508046810MaRDI QIDQ3979466

Jan Janas

Publication date: 26 June 1992

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

Full work available at URL: https://eudml.org/doc/219054

zbMATH Keywords

resolventcompactselfadjointunbounded Toeplitz operatorsBargmann-Segal space of Gaussian square- integrable entire functions

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (12)

Unbounded complex symmetric Toeplitz operators ⋮ Some weighted estimates for the ∂̅-equation and a finite rank theorem for Toeplitz operators in the Fock space ⋮ Algebraic properties and the finite rank problem for Toeplitz operators on the Segal-Bargmann space ⋮ Noncommutative complex analysis and Bargmann-Segal multipliers ⋮ On unbounded hyponormal operators. II ⋮ Finite rank Bargmann–Toeplitz operators with non-compactly supported symbols ⋮ The finite rank theorem for Toeplitz operators on the Fock space ⋮ An operator version of the Newman-Shapiro isometry theorem ⋮ Compact vectorial Toeplitz operators on the Segal-Bargmann space ⋮ Polynomials having leading terms over \(\mathbb C^2\) in the Fock space ⋮ Generalization of the Newman-Shapiro isometry theorem and Toeplitz operators ⋮ Self-adjointness of Toeplitz operators on the Segal-Bargmann space

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