Notes on functional analysis

zbMath1175.46001MaRDI QIDQ5901522

Rajendra Bhatia

Publication date: 8 April 2009

Published in: Texts and Readings in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Banach spacesHilbert spacesspectral theorynormal operatorsfunctional analysiscompact operatorsoperators on Hilbert spaceoperators on Banach space

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Functional calculus for linear operators (47A60) Linear symmetric and selfadjoint operators (unbounded) (47B25) Spaces of operators; tensor products; approximation properties (46B28) Compactness in Banach (or normed) spaces (46B50) Duality and reflexivity in normed linear and Banach spaces (46B10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory (47-01)

Related Items (12)

\(\mathcal{L}\)-invariant and radial singular integral operators on the Fock space ⋮ Integral representation of vertical operators on the Bergman space over the upper half-plane ⋮ CONTINUITY OF A CONDITION SPECTRUM AND ITS LEVEL SETS ⋮ Integral representation of angular operators on the Bergman space over the upper half-plane ⋮ Consistency of large dimensional sample covariance matrix under weak dependence ⋮ Choquet operators associated to vector capacities ⋮ Efficient D-Optimal Design of Experiments for Infinite-Dimensional Bayesian Linear Inverse Problems ⋮ A note on the Choquet type operators ⋮ Convergence rates for kernel regression in infinite-dimensional spaces ⋮ Some inequalities for unitarily invariant norm ⋮ Multi-sample comparison using spatial signs for infinite dimensional data ⋮ On the structure of absolutely minimum attaining operators

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