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Functional Analysis

Peter D. Lax

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John Wiley & Sons img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Analysis

Beschreibung

* Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more. * Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables. * Includes an appendix on the Riesz representation theorem.

Rezensionen

(Journal of Operator Theory, Vol.53, No.1, 2005)
"...an excellent source of facts for anyone working in functional analysis or operator theory."
(Choice, Vol. 40, No. 4, December 2002)
"For years Lax has been counted among the world's very top people in PDEs, so no serious student can afford to ignore his view of the foundations leading up to that subject."
(Mathematical Reviews, 2003a)
"...attractive...well suited for graduate courses...and useful for research mathematicians."
. (Zentralblatt MATH, Vol.1009, No.9, 2003)
"...The book is highly recommended to all students of analysis"
(American Mathematical Monthly, August/September 2003)
"A lot of good material, doled out in short chapters."
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Schlagwörter

Mathematics, Complex & Functional Analysis, Komplexe Analysis u. Funktionalanalysis, Funktionalanalysis, Mathematik