Functional Analysis by Peter D. Lax (English) Hardcover Book

Description: Functional Analysis by Peter D. Lax 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. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description 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. Author Biography Peter D. Lax is a Series Advisor for the Wiley Interscience Series in Pure and Applied Mathematics. He is a professor of mathematics at the Courant Institute, the director of the Mathematics and computing Laboratory, and was director of the Institute from 1971 to 1980. Table of Contents Foreword. Linear Spaces. Linear Maps. The Hahn-Banach Theorem. Applications of the Hahn-Banach Theorem. Normed Linear Spaces. Hilbert Space. Applications of Hilbert Space Results. Duals of Normed Linear Space. Applications of Duality. Weak Convergence. Applications of Weak Convergence. The Weak and Weak* Topologies. Locally Convex Topologies and the Krein-Milman Theorem. Examples of Convex Sets and their Extreme Points. Bounded Linear Maps. Examples of Bounded Linear Maps. Banach Algebras and their Elementary Spectral Theory. Gelfands Theory of Commutative Banach Algebras. Applications of Gelfands Theory of Commutative Banach Algebras. Examples of Operators and their Spectra. Compact Maps. Examples of Compact Operators. Positive Compact Operators. Fredholms Theory of Integral Equations. Invariant Subspaces. Harmonic Analysis on a Halfline. Index Theory. Compact Symmetric Operators in Hilbert Space. Examples of Compact Symmetric Operators. Trace Class and Trace Formula. Spectral Theory of Symmetric, Normal and Unitary Operators. Spectral Theory of Self-Adjoint Operators. Examples of Self-Adjoint Operators. Semigroups of Operators. Groups of Unitary Operators. Examples of Strongly Continuous Semigroups. Scattering Theory. A Theorem of Beurling. Appendix A: The Riesz-Kakutani Representation Theorem. Appendix B: Theory of Distributions. Appendix C: Zorns Lemma. Author Index. Subject Index. Review "...an excellent source of facts for anyone working in functional analysis or operator theory." (Journal of Operator Theory, Vol.53, No.1, 2005) "For years Lax has been counted among the worlds very top people in PDEs, so no serious student can afford to ignore his view of the foundations leading up to that subject." (Choice, Vol. 40, No. 4, December 2002) "...attractive...well suited for graduate courses...and useful for 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) Review Text ??an excellent source of facts for anyone working in functional analysis or operator theory.? (Journal of Operator Theory, Vol.53, No.1, 2005) "For years Lax has been counted among the worlds very top people in PDEs, so no serious student can afford to ignore his view of the foundations leading up to that subject." (Choice, Vol. 40, No. 4, December 2002) "...attractive...well suited for graduate courses...and useful for 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) Review Quote "...an excellent source of facts for anyone working in functional analysis or operator theory." ( Journal of Operator Theory , Vol.53, No.1, 2005) "For years Lax has been counted among the worlds very top people in PDEs, so no serious student can afford to ignore his view of the foundations leading up to that subject." ( Choice , Vol. 40, No. 4, December 2002) "...attractive...well suited for graduate courses...and useful for 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) Promotional "Headline" "...an excellent source of facts for anyone working in functional analysis or operator theory." (Journal of Operator Theory, Vol.53, No.1, 2005)"For years Lax has been counted among the worlds very top people in PDEs, so no serious student can afford to ignore his view of the foundations leading up to that subject." (Choice, Vol. 40, No. 4, December 2002)"...attractive...well suited for graduate courses...and useful for 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) Feature 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. Details ISBN0471556041 Author Peter D. Lax Pages 608 Language English ISBN-10 0471556041 ISBN-13 9780471556046 Media Book Format Hardcover Year 2002 Place of Publication New York Country of Publication United States Illustrations Ill. Short Title FUNCTIONAL ANALYSIS Affiliation Coutant Institute, New York Univ. Edition 1st DOI 10.1604/9780471556046 Series Number 55 UK Release Date 2002-04-15 AU Release Date 2002-03-21 NZ Release Date 2002-03-21 Publisher John Wiley & Sons Inc Series Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts Publication Date 2002-04-15 Imprint Wiley-Interscience DEWEY 515.7 Audience Undergraduate US Release Date 2002-04-15 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:7558685;

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