Könyv Functional Analysis Vagn Lundsgaard Hansen

Functional Analysis

Nyelv: Angol
Kötés: Puha kötésű
Elérhetőség: 50 % esély
Keressük az egész világon
17 888 Ft
This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, c...

Információk a könyvről

Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2006
oldal
136
EAN
9789812566867
ISBN
9812566864
Enbook ID
04342571
Súly
277
Méretek
154 x 222 x 12

Teljes leírás

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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