Vagn Lundsgaard Hansen
FUNCTIONAL ANALYSIS: ENTERING HILBERT SPACE
Gebonden Engels 2006 9789812565631Levertijd ongeveer 11 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9789812565631
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:148
Uitgever:World Scientific Publishing Co Pte Ltd
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