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- 000 01589cam a2200277 a 4500
- 008 061115s2006 njua 001 0 eng
- 020 __ |a 9812566864 (pbk.)
- 020 __ |a 9789812566867 (pbk.)
- 040 __ |a DLC |c DLC |d YDXCP |d BAKER |d C#P |d HUA
- 050 00 |a QA320 |b .H36 2006
- 100 1_ |a Hansen, Vagn Lundsgaard.
- 245 10 |a Functional analysis : |b entering Hilbert space / |c Vagn Lundsgaard Hansen.
- 260 __ |a New Jersey : |b World Scientific, |c c2006.
- 300 __ |a x, 136 p. : |b ill. ; |c 24 cm.
- 504 __ |a Includes bibliographical references (p. 129-130) and index.
- 520 1_ |a "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 p[superscript th] 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 Holder and Minkowski. The L[superscript p]-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."--BOOK JACKET.
- 650 _0 |a Functional analysis.