Idempotent, model, and Toeplitz operators attaining their norms

DOI10.1016/j.laa.2021.03.032OpenAlexW3146614018MaRDI QIDQ2029870

Kousik Dhara, A. Sensarma, Jaydeb Sarkar, Neeru Bala

Publication date: 4 June 2021

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.03585

zbMATH Keywords

idempotentsHardy spaceToeplitz operatorsinner functionsmodel operators

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Spectrum, resolvent (47A10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Inner functions of one complex variable (30J05) Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. (47A46)

Related Items

The norm attainment problem for functions of projections, Norms of basic operators in vector valued model spaces and de Branges spaces

Cites Work

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• Unbounded or bounded idempotent operators in Hilbert space
• Operators that achieve the norm
• A gentle guide to the basics of two projections theory
• The many proofs of an identity on the norm of oblique projections
• The Bishop-Phelps-Bollobás theorem for operators
• A non-linear extremal problem on the Hardy space
• On the norm of polynomials of two adjoint projections
• Norm-attaining compact operators
• On operators which attain their norm
• Inverting the Difference of Hilbert Space Projections
• Hilbert space idempotents and involutions
• A SPECTRAL CHARACTERIZATION OF OPERATORS
• A spectral characterization of absolutely norming operators on S. N. ideals
• STRUCTURE THEOREM FOR -OPERATORS
• Generalized Interpolation in H ∞
• Partially Isometric Toeplitz Operators