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

Functional Analysis: Entering Hilbert Space

Автор: V.L. Hansen
Език: Английски език
Корици: С твърди корици
Наличност: Очаква се допечатка
Срокът не е известен
93.66 183.18 лв
This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, c...

Информация за книгата

Автор
Език
Английски език
Корици
Книга - С твърди корици
Издадена
2006
страници
148
EAN
9789812565631
ISBN
9812565639
Enbook ID
05173950
Теглоt
404
Размери
162 x 233 x 16

Пълно описание

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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