„... an excellent source of facts for anyone working infunctional analysis or operator theory.“ (Journal ofOperator Theory, Vol.53, No.1, 2005)
"For years Lax has been counted among the world's very toppeople in PDEs, so no serious student can afford to ignore his viewof the foundations leading up to that subject.„ (Choice, Vol. 40, No. 4, December 2002)
“... attractive... well suited for graduate courses... and usefulfor research mathematicians.„ (Mathematical Reviews,2003a)
“... The book is highly recommended to all students of analysis„.(Zentralblatt MATH, Vol.1009, No.9, 2003)
“A lot of good material, doled out in short chapters."(American Mathematical Monthly, August/September 2003)
Functional Analysis
von Peter D. LaxIncludes sections on the spectral resolution and spectralrepresentation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index ofoperators, 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 realvariables.
* Includes an appendix on the Riesz representation theorem.
* Includes an appendix on the Riesz representation theorem.
