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Floquet topological states in time-varying metasurfaces. [PDF]

Sci Adv
Ma Q, You JW, Chen L, Gu Z, Qin SL, Lan Z, Cui TJ.   +6 more
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Topological Vector Spaces [PDF]

, 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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Topological vector spaces

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
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GROUPOIDS IN TOPOLOGICAL VECTOR SPACE

JP Journal of Geometry and Topology, 2015
In this paper, a groupoid, in a sense an internal groupoid, in the category of topological vector spaces is defined and some properties of this groupoid in terms of covering morphisms are studied. It is proved that the fundamental groupoid functor gives rise to a functor from topological vector spaces to the groupoid in vector spaces.
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Fuzzy topological vector spaces I

Fuzzy Sets and Systems, 1981
This 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
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Topological Vector Spaces

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.
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Topological Vector Spaces

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 ...
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