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 Space Which Is Not A Schwartz Space / J.m. Ansemil And S. Ponte -- The Levi Problem And The Radius Of Convergence Of The Holomorphic Functions On Metric Vector Spaces / Aboubakr Bayoumi -- Extending Nonarchimedean Norms On Algebras / Edward Beckenstein And Lawrence Narici -- M-structure In Tensor Products Of Banach Spaces / Ehrhard Behrends -- Silva-holomorphy Types, Borel Transforms And Partial Differential Operators / Mauro Bianchini -- The Approximation-theoretic Localization Of Schwartz's Approximation Property For Weighted Locally Convex Function Space And Some Examples / Klaus-d. Bierstedt -- An Application Of Korovkin's Theorem To Certain Partial Differential Equations / Bruno Brosowski -- The Fourier-borel Transform In Infinitely Many Dimensions And Applications / J.f. Colombeau And B. Perrot -- On The Solvability Of Differential Equations Of Infinite Order On Non-metrizable Spaces / J.f. Colombeau, B. Perrot And T.a.w. Dwyer, Iii --^ C[superscript Infinity]-functions On Locally Convex And On Bornological Vector Spaces / J.f. Colombeau And Reinhold Meise -- Uniform Measures And Cosaks Spaces / J.b. Cooper And W. Schachermayer -- Holomorphic Germs On Compact Subsets Of Locally Convex Spaces / Seán Dineen -- Some Mathematical Problems In Non-equilibrium Statistical Mechanics / Gérard G. Emch -- Generalized Hewitt-nachbin Spaces Arising In State-space Completions / Benno Fuchssteiner -- On The Topology Of Compact Complex Surfaces / Ludger Kaup -- Jordan Algebras And Holomorphy / Wilhelm Kaup -- Hoe To Recognize Supports From The Growth Of Functional Transforms In Real And Complex Analysis / Christer O. Kiselman -- Linear Differential Operators On Vector Spaces / Paul Krée -- Solutions Faibles Et Solutions Fortes Du Problème [ð] U = F Où F Est Une Fonction à Croissance Polynomiale Sur Un Espace De Hilbert / Bernard Lascar -- Silva-holomorphy Types / Mário C. Matos And Leopoldo Nachbin --^ Envelopes For Types Of Holomorphy / Luiza A. Moraes -- Domains Of Holomorphy In (dfc)-spaces / Jorge Mujica -- Homomorphisms Of Algebras Of Germs Of Holomorphic Functions / Olympia Nicodemi -- On The Spectra Of Non-archimedean Function Algebras / João B. Prolla -- An Example Of The Barrelled Space Associated To C(x;e) / Jean Schmets -- On Suprabarrelled Spaces / Manuel Valdivia -- Envelopes Of Silva-holomorphy / Maria Carmelina F. Zaine -- Dense Subalgebras In Topological Algebras Of Differential Functions / Guido Zapata. Edited By S. Machado. Includes Bibliographical References. 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