Format:
x, 170 Seiten
,
Illustrationen
ISBN:
9783030527839
Series Statement:
Compact textbooks in mathematics
Content:
Topological basics -- Linear operators between normed spaces -- Dual spaces and weak convergence -- Compact operators between Banach spaces -- Hilbert spaces.
Content:
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.
Note:
Literaturverzeichnis: Seite 165-166
Additional Edition:
Übersetzung von Clason, Christian, 1974 - Einführung in die Funktionalanalysis
Additional Edition:
ISBN 9783030527846
Additional Edition:
Erscheint auch als Online-Ausgabe Clason, Christian Introduction to Functional Analysis Cham : Springer International Publishing, 2020 ISBN 9783030527846
Language:
English
Subjects:
Mathematics
Keywords:
Funktionalanalysis
;
Lehrbuch
DOI:
10.1007/978-3-030-52784-6
Author information:
Clason, Christian 1974-
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