Results 21 to 30 of about 230 (41)

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

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

Mackey convergence and quasi‐sequentially webbed spaces

International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 1, Page 17-26, 1991., 1991
The problem of characterizing those locally convex spaces satisfying the Mackey convergence condition is still open. Recently in [4], a partial description was given using compatible webs. In this paper, those results are extended by using quasi‐sequentially webbed spaces (see Definition 1).
Thomas E. Gilsdorf
wiley   +1 more source

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

Mazur spaces

International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 1, Page 39-53, 1981., 1981
A Mazur space is a locally convex topological vector space X such that every fϵXs is continuous where Xs is the set of sequentially continuous linear functionals on X; Xs is studied when X is of the form C(H), H a topological space, and when X is the weak * dual of a locally convex space. This leads to a new classification of compact T2 spaces H, those
Albert Wilansky
wiley   +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
core   +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
core   +1 more source

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

On linearisation and existence of preduals [PDF]

We study the problem of existence of preduals of locally convex Hausdorff spaces. We derive necessary and sufficient conditions for the existence of a predual with certain properties of a bornological locally convex Hausdorff space X. Then we turn to the
Kruse, Karsten
core   +2 more sources

On linearization and uniqueness of preduals [PDF]

We study strong linearizations and the uniqueness of preduals of locally convex Hausdorff spaces of scalar-valued functions. Strong linearizations are special preduals. A locally convex Hausdorff space F⁡(Ω) of scalar-valued functions on a nonempty set Ω 
Kruse, Karsten
core   +1 more source

On linearisation, existence and uniqueness of preduals

, 2023
We study the problem of existence and uniqueness of preduals of locally convex Hausdorff spaces. We derive necessary and sufficient conditions for the existence of a predual with certain properties of a bornological locally convex Hausdorff space $X ...
Kruse, Karsten
core