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coll31 chVII
Document Outline
Frontmatter
Chapter I Abstract Spaces
Chapter II Linear Transformations
Chapter III Vector-Valued Functions
Chapter IV Banach Algebras
Chapter V Analysis in a Banach Algebra
Chapter VI Laplace Integrals and Binomial Series
Chapter VII Subadditive Functions
1. Boundedness and Growth
2. Continuity and Differentiability
3. Subadditive Functions in E_n
Chapter VIII Semi-Modules
Chapter IX Addition Theorems in a Banach Algebra
Chapter X Semi-Groups in the Strong Topology
Chapter XI Generator and Resolvent
Chapter XII Generation of Semi-Groups
Chapter XIII Perturbation Theory
Chapter XIV Adjoint Theory
Chapter XV Operational Calculus
Chapter XVI Spectral Theory
Chapter XVII Holomorphic Semi-Groups
Chapter XVIII Applications to Ergodic Theory
Chapter XIX Translations and Powers
Chapter XX Trigonometric Semi-Groups
Chapter XXI Semi-Groups in $L_p(-\infty, \infty)$
Chapter XXII Semi-Groups in Hilbert Space
Chapter XXIII Miscellaneous Applications
Chapter XXIV Notes on Banach Algebras
Chapter XXV Lie Semi-Groups
Chapter XXVI Functions on Vectors to Vectors
Bibliography and Index
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