Buch, Englisch, 324 Seiten, Format (B × H): 178 mm x 235 mm, Gewicht: 586 g
Buch, Englisch, 324 Seiten, Format (B × H): 178 mm x 235 mm, Gewicht: 586 g
Reihe: Springer Undergraduate Mathematics Series
ISBN: 978-1-84800-004-9
Verlag: Springer
This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. A highlight of the second edition is a new chapter on the Hahn-Banach theorem and its applications to the theory of duality. This chapter also introduces the basic properties of projection operators on Banach spaces, and weak convergence of sequences in Banach spaces. Other highlights include topics that have applications to both linear and nonlinear functional analysis, extended coverage of the uniform boundedness theorem, and plenty of exercises with solutions provided at the back of the book.
Zielgruppe
Lower undergraduate
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
- Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
Weitere Infos & Material
Preliminaries.- Normed Spaces.- Inner Product Spaces, Hilbert Spaces.- Linear Operators.- Duality and the Hahn—Banach Theorem.- Linear Operators on Hilbert Spaces.- Compact Operators.- Integral and Differential Equations.- Solutions to Exercises.
