Functional Analysis
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Functional Analysis
Lax, Peter D.
John Wiley & Sons Inc
04/2002
608
Dura
Inglês
9780471556046
15 a 20 dias
949
Descrição não disponível.
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.
Gelfand's Theory of Commutative Banach Algebras.
Applications of Gelfand's Theory of Commutative Banach Algebras.
Examples of Operators and their Spectra.
Compact Maps.
Examples of Compact Operators.
Positive Compact Operators.
Fredholm's 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: Zorn's Lemma.
Author Index.
Subject Index.
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.
Gelfand's Theory of Commutative Banach Algebras.
Applications of Gelfand's Theory of Commutative Banach Algebras.
Examples of Operators and their Spectra.
Compact Maps.
Examples of Compact Operators.
Positive Compact Operators.
Fredholm's 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: Zorn's Lemma.
Author Index.
Subject Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
hahnbanach; applications; theorem; linear; space; hilbert; normed; duals; convex topologies; convex; examples; extreme points; bounded linear; theory; algebras; banach
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.
Gelfand's Theory of Commutative Banach Algebras.
Applications of Gelfand's Theory of Commutative Banach Algebras.
Examples of Operators and their Spectra.
Compact Maps.
Examples of Compact Operators.
Positive Compact Operators.
Fredholm's 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: Zorn's Lemma.
Author Index.
Subject Index.
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.
Gelfand's Theory of Commutative Banach Algebras.
Applications of Gelfand's Theory of Commutative Banach Algebras.
Examples of Operators and their Spectra.
Compact Maps.
Examples of Compact Operators.
Positive Compact Operators.
Fredholm's 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: Zorn's Lemma.
Author Index.
Subject Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
