Functional Analysis for the Applied Sciences

DOI10.1007/978-3-030-27153-4zbMath1436.46001OpenAlexW2997998438MaRDI QIDQ5194778

Gheorghe Morosanu

Publication date: 17 September 2019

Published in: Universitext (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-27153-4

zbMATH Keywords

Banach spacesSobolev spacesmetric spaceseigenvaluesdistributionseigenvectorsHilbert spacesstrongly continuous semigroupsFredholm theoryfunctional analysisFourier expansionslinear operatorscompact operatorsBochner integralabstract differential equationsLebesgue integral$L^p$ spaces

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) One-parameter semigroups and linear evolution equations (47D06) Operations with distributions and generalized functions (46F10) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Classical Banach spaces in the general theory (46B25) Linear operators defined by compactness properties (47B07) Mathematics for nonmathematicians (engineering, social sciences, etc.) (00A06) Lattices of continuous, differentiable or analytic functions (46E05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) Applications of functional analysis to differential and integral equations (46N20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory (47-01)

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