Functional Analysis, Spectral Theory, and Applications

DOI10.1007/978-3-319-58540-6zbMath1387.46001OpenAlexW2768456430MaRDI QIDQ5266642

Manfred Einsiedler, Thomas B. Ward

Publication date: 19 June 2017

Published in: Graduate Texts in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-58540-6

zbMATH Keywords

Banach spacesHilbert spacesprime number theoremspectral theoryBanach algebrasfunctional calculusamenable groups

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of (C^*)-algebras (46L05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) General theory of locally convex spaces (46A03) Banach spaces of continuous, differentiable or analytic functions (46E15) Duality and reflexivity in normed linear and Banach spaces (46B10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) Means on groups, semigroups, etc.; amenable groups (43A07) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory (47-01)

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