Kniha Functional Analysis: Entering Hilbert Space V.L. Hansen

Functional Analysis: Entering Hilbert Space

Autor: V.L. Hansen
Jazyk: Angličtina
Väzba: Pevná
Dostupnosť: Čaká sa dotlač
Termín neznámy
88.78
This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, c...

Informácie o knihe

Autor
Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
2006
Stránok
148
EAN
9789812565631
ISBN
9812565639
Enbook ID
05173950
Hmotnosť
404
Rozmery
162 x 233 x 16

Kompletný popis

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 H?lder 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.

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