Functional Analysis, Holomorphy, and Approximation Theory

Proceedings of the Seminario de Analise Functional Holomorfia e Teoria da Aproximacao, Universidade Federal do Rio de Janeiro, Brazil, August 7-11, 1978
Herausgegeben:Machado, S.

• Broschiertes Buch

Produktbeschreibung

An example of a quasi-normable Fr¿et function space which is not a Schwartz space.- The Levi problem and the radius of convergence of holomorphic functions on metric vector spaces.- Extending nonarchimedean norms on algebras.- M-structure in tensor products of Banach spaces.- Silva-holomorphy types, borel transforms and partial differential operators.- The approximation-theoretic locaization of Schwartz's approximation property for weighted locally convex function spaces and some examples.- An application of Korovkin's theorem to certain partial differential equations.- The fourier-borel transform in infinitely many dimensions and applications.- On the solvability of differential equations of infinite order in non-metrizable spaces.- C?-functions on locally convex and on bornological vector spaces.- Uniform measures and CoSaks spaces.- Holomorphic germs on compact subsets of locally convex spaces.- Some mathematical problems in non-equilibrium statistical mechanics.- Generalized Hewitt-Nachbin spaces arising in state-space completions.- On the topology of compact complex surfaces.- Jordan algebras and holomorphy.- How to recognize supports from the growth of functional transforms in real and complex analysis.- Linear differential operators on vector spaces.- Solutions Faibles et Solutions Fortes du Probl¿ u=f o¿ f est une Fonction ¿roissance Polynomiale sur un Espace de Hilbert.- Silva-holomorphy types.- Envelopes for types of holomorphy.- Domains of holomorphy in (DFC)-spaces.- Homomorphisms of algebras of germs of holomorphic functions.- On the spectra of non-archimedean function algebras.- An example of the barrelled space associated to C(X;E).- On suprabarrelled spaces.- Envelopes of silva-holomorphy.- Dense subalgebras in topological algebras of differentiable functions.

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Produktdetails

• Lecture Notes in Mathematics 843
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-10560-2
• 1981
• Seitenzahl: 648
• Erscheinungstermin: 1. Februar 1981
• Englisch, Französisch
• Abmessung: 235mm x 155mm x 35mm
• Gewicht: 992g
• ISBN-13: 9783540105602
• ISBN-10: 3540105603
• Artikelnr.: 23563481

Inhaltsangabe

An example of a quasi-normable Fréchet function space which is not a Schwartz space.- The Levi problem and the radius of convergence of holomorphic functions on metric vector spaces.- Extending nonarchimedean norms on algebras.- M-structure in tensor products of Banach spaces.- Silva-holomorphy types, borel transforms and partial differential operators.- The approximation-theoretic locaization of Schwartz's approximation property for weighted locally convex function spaces and some examples.- An application of Korovkin's theorem to certain partial differential equations.- The fourier-borel transform in infinitely many dimensions and applications.- On the solvability of differential equations of infinite order in non-metrizable spaces.- C?-functions on locally convex and on bornological vector spaces.- Uniform measures and CoSaks spaces.- Holomorphic germs on compact subsets of locally convex spaces.- Some mathematical problems in non-equilibrium statistical mechanics.- Generalized Hewitt-Nachbin spaces arising in state-space completions.- On the topology of compact complex surfaces.- Jordan algebras and holomorphy.- How to recognize supports from the growth of functional transforms in real and complex analysis.- Linear differential operators on vector spaces.- Solutions Faibles et Solutions Fortes du Problème u=f où f est une Fonction à Croissance Polynomiale sur un Espace de Hilbert.- Silva-holomorphy types.- Envelopes for types of holomorphy.- Domains of holomorphy in (DFC)-spaces.- Homomorphisms of algebras of germs of holomorphic functions.- On the spectra of non-archimedean function algebras.- An example of the barrelled space associated to C(X;E).- On suprabarrelled spaces.- Envelopes of silva-holomorphy.- Dense subalgebras in topological algebras ofdifferentiable functions.