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

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