Functional Analysis: Entering Hilbert Space

Vagn Lundsgaard Hansen (Autor)

Buch | Softcover

148 Seiten

2006
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-256-686-7 (ISBN)

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This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces. It exhibits a construction of the space of pth power Lebesgue integrable functions by a completion procedure with respect to a suitable norm in a space of continuous functions, including proofs of the basic inequalities of Hölder and Minkowski. The Lp-spaces thereby emerges in direct analogy with a construction of the real numbers from the rational numbers. This allows grasping the main ideas more rapidly. Other important Banach spaces arising from function spaces and sequence spaces are also treated.

Erscheint lt. Verlag	22.5.2006
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	981-256-686-4 / 9812566864
ISBN-13	978-981-256-686-7 / 9789812566867
Zustand	Neuware