Functional Analysis, Holomorphy, and Approximation Theory: Proceedings of the Seminário de Análise Funcional, Holomorfia e Teoria da Aproximação, Universidade Federal do Rio de Janeiro, Brazil, August 7 – 11, 1978

J. M. Ansemil, S. Ponte (auth.), Silvio Machado (eds.)9780387105604, 0-387-10560-3

Table of contents :
An example of a quasi-normable Fréchet function space which is not a Schwartz space….Pages 1-8
The Levi problem and the radius of convergence of holomorphic functions on metric vector spaces….Pages 9-32
Extending nonarchimedean norms on algebras….Pages 33-40
M-structure in tensor products of Banach spaces….Pages 41-54
Silva-holomorphy types, borel transforms and partial differential operators….Pages 55-92
The approximation-theoretic locaization of Schwartz’s approximation property for weighted locally convex function spaces and some examples….Pages 93-149
An application of Korovkin’s theorem to certain partial differential equations….Pages 150-162
The fourier-borel transform in infinitely many dimensions and applications….Pages 163-186
On the solvability of differential equations of infinite order in non-metrizable spaces….Pages 187-194
C ∞ -functions on locally convex and on bornological vector spaces….Pages 195-216
Uniform measures and CoSaks spaces….Pages 217-246
Holomorphic germs on compact subsets of locally convex spaces….Pages 247-263
Some mathematical problems in non-equilibrium statistical mechanics….Pages 264-295
Generalized Hewitt-Nachbin spaces arising in state-space completions….Pages 296-318
On the topology of compact complex surfaces….Pages 319-340
Jordan algebras and holomorphy….Pages 341-365
How to recognize supports from the growth of functional transforms in real and complex analysis….Pages 366-372
Linear differential operators on vector spaces….Pages 373-404
Solutions Faibles et Solutions Fortes du Problème $$bar partial $$ u=f où f est une Fonction à Croissance Polynomiale sur un Espace de Hilbert….Pages 405-436
Silva-holomorphy types….Pages 437-487
Envelopes for types of holomorphy….Pages 488-499
Domains of holomorphy in (DFC)-spaces….Pages 500-533
Homomorphisms of algebras of germs of holomorphic functions….Pages 534-546
On the spectra of non-archimedean function algebras….Pages 547-560
An example of the barrelled space associated to C(X;E)….Pages 561-571
On suprabarrelled spaces….Pages 572-580
Envelopes of silva-holomorphy….Pages 581-614
Dense subalgebras in topological algebras of differentiable functions….Pages 615-636