Results 231 to 240 of about 296,500 (268)
Some of the next articles are maybe not open access.
1999
While normed linear spaces presently appear to be sufficiently general for most theoretical work in economics, mathematicians have found the more general concept of a topological vector space to be quite useful. Consequently, it appears to be very worthwhile for us to be familiar with at least the rudiments of the theory of such spaces. In this chapter
H. H. Schaefer, M. P. Wolff
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While normed linear spaces presently appear to be sufficiently general for most theoretical work in economics, mathematicians have found the more general concept of a topological vector space to be quite useful. Consequently, it appears to be very worthwhile for us to be familiar with at least the rudiments of the theory of such spaces. In this chapter
H. H. Schaefer, M. P. Wolff
+4 more sources
2018
There are natural types of convergence on linear spaces of functions with the feature that the convergence cannot be described as convergence with respect to a norm. These are, for instance, pointwise convergence and convergence in measure. Such types of convergence will, with rare exceptions, be the weak and weak\(^*\) convergence in Banach spaces ...
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There are natural types of convergence on linear spaces of functions with the feature that the convergence cannot be described as convergence with respect to a norm. These are, for instance, pointwise convergence and convergence in measure. Such types of convergence will, with rare exceptions, be the weak and weak\(^*\) convergence in Banach spaces ...
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2014
The main objective of this chapter is to present an outline of the basic tools of analysis necessary to develop the subsequent chapters. The results addressed include the open mapping and closed graph theorems and an introduction to Hilbert spaces. We assume the reader has a background in linear algebra and elementary real analysis at an undergraduate ...
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The main objective of this chapter is to present an outline of the basic tools of analysis necessary to develop the subsequent chapters. The results addressed include the open mapping and closed graph theorems and an introduction to Hilbert spaces. We assume the reader has a background in linear algebra and elementary real analysis at an undergraduate ...
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1981
In this chapter we start our investigations on general topological vector spaces by introducing the basic concepts and giving the standard descriptions of linear topologies by means of particular neighbourhood bases of the zero vector. This is followed by a brief discussion of boundedness and of continuity of linear forms in 2.3.
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In this chapter we start our investigations on general topological vector spaces by introducing the basic concepts and giving the standard descriptions of linear topologies by means of particular neighbourhood bases of the zero vector. This is followed by a brief discussion of boundedness and of continuity of linear forms in 2.3.
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2002
In this chapter we describe the basic facts on locally convex vector spaces. We follow the representation given in the textbook of S. Rolewicz [86] and begin with metric and topological spaces.
Diethard Pallaschke, Ryszard Urbański
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In this chapter we describe the basic facts on locally convex vector spaces. We follow the representation given in the textbook of S. Rolewicz [86] and begin with metric and topological spaces.
Diethard Pallaschke, Ryszard Urbański
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TOPOLOGICAL SPACES AND VECTOR LATTICES
Russian Mathematical Surveys, 1980Veksler, A. I., Zakharov, V. K.
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When is the space of minimal usco/cusco maps a topological vector space
Journal of Mathematical Analysis and Applications, 2020Ľubica Holá, Branislav Novotny
exaly
A new kind of topological vector space: Topological approach vector space
AIP Conference Proceedings, 2022Ruaa K. Abbas, Boushra Y. Hussein
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Completions of Topological Vector Spaces
Proceedings of the London Mathematical Society, 1958openaire +1 more source