Results 11 to 20 of about 223 (35)

Holomorphic Functions on Strict Inductive Limits of Banach Spaces [PDF]

, 1992
Sin ...
Dineen, Seán, Moraes, A.
core   +2 more sources

Locally convex structures on higher local fields [PDF]

, 2013
We establish how a higher local field can be described as a locally convex vector space once an embedding of a local field into it has been fixed. This extends previous results that had been obtained in the two-dimensional case.
Camara, Alberto
core   +1 more source

Functional analysis on two-dimensional local fields

, 2013
We establish how a two-dimensional local field can be described as a locally convex space once an embedding of a local field into it has been fixed. We study the resulting spaces from a functional analytic point of view: in particular we study bounded, c-
Camara, Alberto
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Spectral asymptotics for infinite order pseudo-differential operators [PDF]

, 2018
We study spectral properties of a class of global infinite order pseudo-differential operators and obtain the asymptotic behaviour of the spectral counting functions of such operators.
Pilipović, Stevan, Prangoski, Bojan, Vindas Diaz, Jasson   +2 more
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A class of bornological barrelled spaces which are not ultrabornological

Mathematische Annalen, 1971
N. Bourbaki, [1, p. 35], notices that it is not known if every bornological barrelled space is ultrabornological. In this paper we prove that if E is the topological product of an infinite family of bornological barrelled spaces, of non-zero dimension, there exists an infinite number of bornological barrelled subspaces ofE, which are not ...
openaire   +2 more sources

Topological structures in Colombeau algebras: topological ℂ̃-modules and duality theory [PDF]

, 2005
We study modules over the ring ℂ̃ of complex generalized numbers from a topological point of view, introducing the notions of ℂ̃-linear topology and locally convex ℂ̃-linear topology.
Claudia Garetto (1253247)
core   +1 more source

Analysis of a problem of Raikov with applications to barreled and bornological spaces

Journal of Pure and Applied Algebra, 2011
Several additive categories arising in applications fail to be abelian but are only semi-abelian, that is, the morphism \(\bar{f}: \mathrm{coim} f \to \mathrm{im} f \) in the canonical decomposition \(f: A\to \mathrm{coim} f \to \mathrm{im} f \to B\) is as well a mono- as an epimorphism but in general not invertible.
openaire   +1 more source

Twisted convolution and Moyal star product of generalized functions

, 2012
We consider nuclear function spaces on which the Weyl-Heisenberg group acts continuously and study the basic properties of the twisted convolution product of the functions with the dual space elements.
B. S. Mityagin, D. H. T. Franco, E. Brüning, F. A. Berezin, G. Köthe, H. H. Schaefer, I. M. Gel’fand, J. M. Gracia-Bondia, J. M. Maillard, J. Neumann von, L. Hormander, L. Álvarez-Gaumé, M. A. Antonets, M. A. Antonets, M. A. Antonets, M. A. Soloviev, M. A. Soloviev, M. A. Soloviev, M. A. Soloviev, M. A. Soloviev, M. A. Soloviev, M. A. Soloviev, M. A. Soloviev, M. A. Soloviev, M. A. Soloviev, M. Chaichian, M. Morimoto, M. Morimoto, N. Seiberg, O. W. Greenberg, R. Estrada, R. J. Szabo, S. Doplicher, S. Doplicher, V. E. Hubeny, V. Gayral, V. I. Arnold, V. P. Palamodov, V. V. Zharinov   +38 more
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On Algebras Which Are Inductive Limits of Banach Spaces [PDF]

, 2015
We introduce algebras which are inductive limits of Banach spaces and carry inequalities which are counterparts of the inequality for the norm in a Banach algebra.
Alpay, Daniel, Salomon, Guy
core   +2 more sources

Continuity of LF-algebra representations associated to representations of Lie groups

, 2012
Let G be a Lie group and E be a locally convex topological G-module. If E is sequentially complete, then E and its space of smooth vectors are modules for the algebra D(G) of compactly supported smooth functions on G. However, the module multiplication
Glockner, Helge
core   +1 more source