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Theory of Differentiation in Locally Convex Spaces.

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1979Copyright date: ©1979Edition: 1st edDescription: 1 online resource (91 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470404048
Subject(s): Genre/Form: Additional physical formats: Print version:: Theory of Differentiation in Locally Convex SpacesDDC classification:
  • 510/.8 s;514/.7
LOC classification:
  • QA613 -- .Y36 1979eb
Online resources:
Contents:
Intro -- Table of Contents -- Chapter I. Linear maps -- 1. Calibration -- 2. Γ-continuous maps -- 3. Γ-bounded elements -- 4. Γ-open subsets -- Chapter II. Differentiation -- 1. Definitions -- 2. Elementary properties -- 3. Chain rules -- Chapter III. Inverse mapping theorem -- 1. Γ-balanced subsets -- 2. Γ-contractions -- 3. Differentiability of inverse maps -- 4. Strict differentiability -- 5. Inverse mapping theorems -- Chapter IV. Differential equations -- 1. Restrictions to B[SUB(Γ)](E) -- 2. Some spaces of continuous functions -- 3. Existence theorems -- Chapter V. Fredholm maps -- 1. Splitting maps -- 2. Critical sets -- 3. Fredholm maps -- Chapter VI. Analytic maps -- 1. Γ-polynomials -- 2. Local Γ-boundedness -- 3. Γ-analytic maps -- 4. BΓ-analytic maps -- Appendix. Manifolds -- References.
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Intro -- Table of Contents -- Chapter I. Linear maps -- 1. Calibration -- 2. Γ-continuous maps -- 3. Γ-bounded elements -- 4. Γ-open subsets -- Chapter II. Differentiation -- 1. Definitions -- 2. Elementary properties -- 3. Chain rules -- Chapter III. Inverse mapping theorem -- 1. Γ-balanced subsets -- 2. Γ-contractions -- 3. Differentiability of inverse maps -- 4. Strict differentiability -- 5. Inverse mapping theorems -- Chapter IV. Differential equations -- 1. Restrictions to B[SUB(Γ)](E) -- 2. Some spaces of continuous functions -- 3. Existence theorems -- Chapter V. Fredholm maps -- 1. Splitting maps -- 2. Critical sets -- 3. Fredholm maps -- Chapter VI. Analytic maps -- 1. Γ-polynomials -- 2. Local Γ-boundedness -- 3. Γ-analytic maps -- 4. BΓ-analytic maps -- Appendix. Manifolds -- References.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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