Classical and discrete functional analysis with measure theory

• Verfasst von: Buntinas, Martin [VerfasserIn]
• Titel: Classical and discrete functional analysis with measure theory
• Verf.angabe: Martin Buntinas (Loyola University Chicago)
• Verlagsort: Cambridge ; New York, NY ; Port Melbourne ; New Delhi
• Verlag: Cambridge University Press
• Jahr: 2022
• Umfang: xi, 458 Seiten
• Illustrationen: Illustrationen
• Gesamttitel/Reihe: London mathematical society student texts ; 101
• Fussnoten: Includes bibliographical references and index
• ISBN: 978-1-107-63488-6
• ISBN: 978-1-107-03414-3
• DOI: doi:10.1017/9781139524445
• Schlagwörter: (s)Funktionalanalysis / (s)Maßtheorie / (s)Metrischer Raum / (s)Diskrete Mathematik / (s)Fourier-Reihe
• Sprache: eng
• Bibliogr. Hinweis: Erscheint auch als : Online-Ausgabe: Buntinas, Martin: Classical and discrete functional analysis with measure theory. - Cambridge ; New York, NY : Cambridge University Press, 2022 |(DLC)2021029832
• RVK-Notation: SK 600
• Sach-SW: MATHEMATICS / Algebra / Abstract
• K10plus-PPN: 1768263264

Abstract

Lebesgue measure -- Lebesgue integral -- Some calculus -- Abstract measures -- Metric and normed spaces -- Linear operators -- Fourier series -- Applications -- Sequence spaces -- Matrix maps, multipliers, and duality -- Summability.

Abstract

"This book grew out of two analysis courses taught to undergraduate and first year graduate students at Loyola University Chicago. One of them covered measure theory and integration, the other functional analysis. Both assumed a background of undergraduate real analysis and linear algebra but neither was prerequisite for the other"--