Results 141 to 150 of about 33,771 (188)

On locally convex I-topological vector spaces

Fuzzy Sets and Systems, 2006
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Zhang, Hui, Fang, Jin-Xuan
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Local convexity and local boundedness of induced -topological vector spaces

Fuzzy Sets and Systems, 2007
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Zhang, Hua-Peng, Fang, Jin-Xuan
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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
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Proper Efficiency in Locally Convex Topological Vector Spaces

Journal of Optimization Theory and Applications, 1997
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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.
Zhang, Hua-Peng, Fang, Jin-Xuan
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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 ...
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Inverse of Berge’s maximum theorem in locally convex topological vector spaces and its applications

Georgian Mathematical Journal, 2022
Abstract In this paper, the inverse of Berge’s maximum theorem is established in a locally convex topological vector space. Using this result, the generalized Gale–Nikaido–Debreu’s lemma and the generalized coincidence point theorem are derived from the equilibrium theorem of generalized games. By combining the inverse of Berge’s maximum
Wen Li, Deyi Li, Yuqiang Feng
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Sequential Separation Theorems and S-Locally Convex Topological Vector Spaces

Mathematische Nachrichten, 1982
The Hahn-Banach theorem, when formulated in a topological vector space, gives rise to a number of 'separation' results. For example: Let (X,t) be a topological vector space (here X is our space, t our topology) over the real or complex field, let A be a non-empty, convex, open subset of X and M an affine subspace of X such that \(A\cap M=\emptyset ...
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Connectedness of Cone Superefficient Point Sets in Locally Convex Topological Vector Spaces

Journal of Optimization Theory and Applications, 2000
For the superefficient point set \(SE(A,K)\) (Borwein/Zhung) in locally convex topological vector spaces it is shown: 1. \(SE(A,K) = \cup_{f \in \operatorname {int} K^*} \{ y \in A: f(y)= \operatorname {inf} \{ f(x): x \in A \} \}\) when \(A\) is \(K\)-convex, 2. \( SE(A,K)\) is connected when \(A\) is \(K\)-convex and weakly compact.
Hu, Y. D., Ling, C.
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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 ...
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