1.

Record Nr.

UNINA9910827409603321

Autore

Yamamuro S. <1925->

Titolo

A theory of differentiation in locally convex spaces / / S. Yamamuro

Pubbl/distr/stampa

Providence : , : American Mathematical Society, , [1979]

©1979

ISBN

1-4704-0404-4

Descrizione fisica

1 online resource (91 p.)

Collana

Memoirs of the American Mathematical Society ; ; number 212

Disciplina

514/.7

Soggetti

Manifolds (Mathematics)

Calculus

Locally convex spaces

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Bibliography: pages 80-82.

Nota di contenuto

""Table of Contents""; ""Chapter I. Linear maps""; ""Â1. Calibration""; ""Â2. Î?-continuous maps""; ""Â3. Î?-bounded elements""; ""Â4. Î?-open subsets""; ""Chapter II. Differentiation""; ""Â1. Definitions""; ""Â2. Elementary properties""; ""Â3. Chain rules""; ""Chapter III. Inverse mapping theorem""; ""Â1. Î?-balanced subsets""; ""Â2. Î?-contractions""; ""Â3. Differentiability of inverse maps""; ""Â4. Strict differentiability""; ""Â5. Inverse mapping theorems""; ""Chapter IV. Differential equations""; ""Â1. Restrictions to B[SUB(Î?)](E)""

""Â2. Some spaces of continuous functions""""Â3. Existence theorems""; ""Chapter V. Fredholm maps""; ""Â1. Splitting maps""; ""Â2. Critical sets""; ""Â3. Fredholm maps""; ""Chapter VI. Analytic maps""; ""Â1. Î?-polynomials""; ""Â2. Local Î?-boundedness""; ""Â3. Î?-analytic maps""; ""Â4. BÎ?-analytic maps""; ""Appendix. Manifolds""; ""References""