02093oam 2200457 450 99641818930331620210617090105.03-030-52784-010.1007/978-3-030-52784-6(CKB)5280000000246100(DE-He213)978-3-030-52784-6(MiAaPQ)EBC6455838(PPN)252508688(EXLCZ)99528000000024610020210617d2020 uy 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierIntroduction to functional analysis /Christian Clason1st ed. 2020.Cham, Switzerland :Birkhäuser,[2020]©20201 online resource (X, 170 p. 1 illus.) Compact textbooks in mathematics3-030-52783-2 Topological basics -- Linear operators between normed spaces -- Dual spaces and weak convergence -- Compact operators between Banach spaces -- Hilbert spaces.Functional analysis has become one of the essential foundations of modern applied mathematics in the last decades, from the theory and numerical solution of differential equations, from optimization and probability theory to medical imaging and mathematical image processing. This textbook offers a compact introduction to the theory and is designed to be used during one semester, fitting exactly 26 lectures of 90 minutes each. It ranges from the topological fundamentals recalled from basic lectures on real analysis to spectral theory in Hilbert spaces. Special attention is given to the central results on dual spaces and weak convergence.Compact textbooks in mathematics.Functional analysisFunctional analysis.515.7Clason Christian1065688MiAaPQMiAaPQUtOrBLWBOOK996418189303316Introduction to functional analysis2547515UNISA