Książka Functional Analysis Vagn Lundsgaard Hansen

Functional Analysis

Język: Angielski
Oprawa: Miękka
Dostępność: 50 % szansa
Przeszukamy cały świat
203.08
This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, c...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2006
strony
136
EAN
9789812566867
ISBN
9812566864
Enbook ID
04342571
Waga
277
Wymiary
154 x 222 x 12

Pełny opis

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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