Results 181 to 190 of about 5,568 (215)

Variational inequalities in locally convex Hausdorff topological vector spaces

Archiv Der Mathematik, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Verma Ram U, Ram U Verma
exaly   +4 more sources

On locally convex I-topological vector spaces

Fuzzy Sets and Systems, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jin-Xuan Fang
exaly   +3 more sources

New definition of locally convex L-topological vector spaces

Fuzzy Sets and Systems, 2009
The authors give a new definition of locally convex \(L\)-topological vector spaces whichcontains the definition of locally convex I-tvs given by \textit{A.\,K.\thinspace Katsaras} [Fuzzy Sets Syst.\ 12, 143--154 (1984; Zbl 0555.46006)] as a special case, where \(I=[0,1]\) as usual.
Hua-Peng Zhang, Jin-Xuan Fang
exaly   +2 more sources

Locally Convex Topological Vector Spaces

2015
Locally convex topological vector spaces form an important class of topological spaces. We have already seen some examples in the previous chapter. This chapter is motivated in part by the study of the space of functions analytic in a given open set and of its dual, and by the study of spaces of test functions and of distributions (for instance the ...
D. Alpay
openaire   +2 more sources

Local convexity and local boundedness of induced -topological vector spaces

Fuzzy Sets and Systems, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hua-Peng Zhang, Jin-Xuan Fang
exaly   +2 more sources

Basic sequences and non locally convex topological vector spaces

Rendiconti Del Circolo Matematico Di Palermo, 1987
Some applications of basic sequences in the theory of non-locally convex topological vector spaces are given. It is shown that the existence of a regular basic sequence in metrizable topological vector spaces admitting a strictly weaker metrizable topology is equivalent to the existence of a metrizable topology lying strictly between the two former ...
Jerzy Kąkol, Kąkol Jerzy
exaly   +2 more sources

TOPOLOGICAL DECOMPOSITIONS OF THE DUALS OF LOCALLY CONVEX VECTOR SEQUENCE SPACES

Quaestiones Mathematicae, 1985
ABSTRACT Let Λ be a scalar sequence space which is endowed with a normal locally convex topology. For a separated locally convex space E we denote by Λ(E) the vector space of all sequences g in E for which (>g(i),a x, f(i)
Jan H Fourie, William H Ruckle
exaly   +2 more sources

The space of vector‐valued integrable functions under certain locally convex topologies

Mathematische Nachrichten, 2012
AbstractLet E be a Banach space, Ω a locally compact space, and μ a positive Radon measure on Ω. In this paper, through extending to Lebesgue‐Bochner spaces, we show that the topology β1 introduced by Singh is a type of strict topology. We then investigate various properties of this locally convex topology.
S. Maghsoudi
openaire   +3 more sources

Properties of the set of global solutions for the cauchy problems in a locally convex topological vector space

Lecture Notes in Mathematics, 1985
P. Morales
exaly   +2 more sources

Locally Convex Topological Vector Spaces

1999
Since convexity will play a central role in all following chapters, the scalar field K over which vector spaces are defined is from now on assumed to be the real field R or the complex field C, unless the contrary is expressly stated. In most definitions and results (for example, the Hahn-Banach theorem) we shall not find it necessary to distinguish ...
H. H. Schaefer, M. P. Wolff
openaire   +1 more source