Results 171 to 180 of about 295,574 (222)
Some of the next articles are maybe not open access.
Related searches:
Related searches:
1982
Vector spaces will be considered as vector spaces over ℂ unless something else is specified. The symbols Hom(X, Y) resp. Sur(X, Y) will be reserved for sets of continuous homomorphisms resp. surjective homomor-phisms; End(X) is the set of continuous endomorphisms and Aut(E) is the set of continuous automorphisms (bijective and bicontinuous ...
L.V. KANTOROVICH, G.P. AKILOV
+4 more sources
Vector spaces will be considered as vector spaces over ℂ unless something else is specified. The symbols Hom(X, Y) resp. Sur(X, Y) will be reserved for sets of continuous homomorphisms resp. surjective homomor-phisms; End(X) is the set of continuous endomorphisms and Aut(E) is the set of continuous automorphisms (bijective and bicontinuous ...
L.V. KANTOROVICH, G.P. AKILOV
+4 more sources
Fuzzy topological vector spaces I
Fuzzy Sets and Systems, 1981This is a continuation of ibid. 6, 85-95 (1981; Zbl 0463.46009). It is shown that a topology \(\tau\), on a vector space E, is linear iff the fuzzy topology \(\omega\) (\(\tau)\), consisting of all \(\tau\)-lower semicontinuous fuzzy sets, is linear. The fuzzy seminormed and the fuzzy normed linear spaces are introduced and some of their properties are
openaire +3 more sources
2013
A topological vector space X over \(\mathbb{R}\) or \(\mathbb{C}\) is a vector space, which is also a topological space, in which the vector space operations are continuous.
openaire +2 more sources
A topological vector space X over \(\mathbb{R}\) or \(\mathbb{C}\) is a vector space, which is also a topological space, in which the vector space operations are continuous.
openaire +2 more sources
Journal of the London Mathematical Society, 1965
Definition 1. (a) A set E u is said to be a topological vector space (or, in short, a TVS) over a given field K, if E u as a pointset is a topological space and a vector space over K such that the mappings: $$\begin{gathered} (x,y) \to x + y, \hfill \\ (\lambda ,x) \to \lambda x \hfill \\ \end{gathered}$$ are continuous in both variables ...
openaire +2 more sources
Definition 1. (a) A set E u is said to be a topological vector space (or, in short, a TVS) over a given field K, if E u as a pointset is a topological space and a vector space over K such that the mappings: $$\begin{gathered} (x,y) \to x + y, \hfill \\ (\lambda ,x) \to \lambda x \hfill \\ \end{gathered}$$ are continuous in both variables ...
openaire +2 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 ...
openaire +2 more sources
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 ...
openaire +2 more sources
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
+4 more sources
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
Topological Vector Spaces Derived From Topological Hypervector Spaces
PROOF, 2023We introduce topological hypervector spaces on a topological field, in the sense of Tallini, and study some basic properties of this hyperspaces. In this regards we study the relationship between the topology on a hypervector spaces and its complete part.
Reza Ameri, M. Hamidi, A. Samadifam
openaire +1 more source