scientific article

zbMath0534.46001MaRDI QIDQ3317568

George Bachman, Lawrence Narici

Publication date: 1981

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

weak convergenceRiesz representation theoremHahn-Banach theoremHilbert spacesclosed graph theoremBanach algebrasFredholm alternativeBessel's inequalityParseval's identityprinciple of uniform boundednessorthonormal setscategory theorem for complete metric spacescomplete orthonormal setsnormed spaces and Banach spacesspace of bounded linear transformationsspectral representation for unbounded self adjoint transformationsspectral theorem for bounded self adjoint transformations on a Hilbert spacespectrum of normal and completely continuous operators

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Isomorphic theory (including renorming) of Banach spaces (46B03) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear symmetric and selfadjoint operators (unbounded) (47B25) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) 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 (2)

Generalized Fredholm Operators and the Boundary of the Maximal Group of Invertible Operators ⋮ A Uniqueness Criterion for Ordinary Differential Equations in Banach Spaces

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