The spaces \({\mathcal O}_ M\) and \({\mathcal O}_ C\) are ultrabornological. A new proof

DOI10.1155/S0161171285000904zbMath0654.46042OpenAlexW2061028441MaRDI QIDQ1108549

S. H. Smith

Publication date: 1985

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/s0161171285000904

zbMATH Keywords

dualityinductive and projective limitsSchwartz spacesbornologicalspaces of multiplication and convolution operators on temperate distributions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Barrelled spaces, bornological spaces (46A08) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (1)

Some remarks concerning the spaces of multipliers and convolutors, \({\mathcal{O}_M}\) and \(\mathcal{O}^\prime_C\), of Laurent Schwartz

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