Results 51 to 60 of about 287,361 (225)
Topological Quasilinear Spaces
Abstract and Applied Analysis, 2012 We introduce, in this work, the notion of topological quasilinear spaces as a generalization of the notion of normed quasilinear spaces defined by Aseev (1986). He introduced a kind of the concept of a quasilinear spaces both including a classical linear
Yılmaz Yılmaz +2 more
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Unitary representability of free abelian topological groups
Applied General Topology, 2008 For every Tikhonov space X the free abelian topological group A(X) and the free locally convex vector space L(X) admit a topologically faithful unitary representation. For compact spaces X this is due to Jorge Galindo.
Vladimir V. Uspenskij
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Open source vector field topology
SoftwareX, 2021 A myriad of physical phenomena, such as fluid flows, magnetic fields, and population dynamics are described by vector fields. More often than not, vector fields are complex and their analysis is challenging.Vector field topology is a powerful analysis ...
Roxana Bujack +3 more
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Euler-Bessel and Euler-Fourier Transforms
, 2010 We consider a topological integral transform of Bessel (concentric isospectral sets) type and Fourier (hyperplane isospectral sets) type, using the Euler characteristic as a measure.
Baryshnikov Y +9 more
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Free topological vector spaces
Topology and its Applications, 2017 We define and study the free topological vector space $\mathbb{V}(X)$ over a Tychonoff space $X$. We prove that $\mathbb{V}(X)$ is a $k_ $-space if and only if $X$ is a $k_ $-space. If $X$ is infinite, then $\mathbb{V}(X)$ contains a closed vector subspace which is topologically isomorphic to $\mathbb{V}(\mathbb{N})$. It is proved that if $X$ is a $k$
Saak Gabriyelyan +2 more
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International Journal of Mathematics and Mathematical Sciences, 1981 A Mazur space is a locally convex topological vector space X such that every fϵXs is continuous where Xs is the set of sequentially continuous linear functionals on X; Xs is studied when X is of the form C(H), H a topological space, and when X is the ...
Albert Wilansky
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Twisted Hilbert spaces of 3d supersymmetric gauge theories
Journal of High Energy Physics, 2018 We study aspects of 3d N=2 $$ \mathcal{N}=2 $$ supersymmetric gauge theories on the product of a line and a Riemann surface. Performing a topological twist along the Riemann surface leads to an effective supersymmetric quantum mechanics on the line.
Mathew Bullimore, Andrea Ferrari
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String In Topological Vector Space [PDF]
, 2013 Introducing the concept of string resulted in a vector space one important step for further Functional Analysis. This made possible the availability of the most important results of this field in other classes spaces.
Dorina GUXHOLLI, Valentina SHEHU
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International Journal of Mathematics and Mathematical Sciences, 1997 The space of Boehmians with Δ-convergence is a complete topological vector space in which the topology is induced by an invariant metric. We show that the dual space of the space of periodic Boehmians can be identified with the class of trigonometric ...
Dennis Nemzer
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Observation of optical vortices in momentum space
, 2017 Vortex, the winding of a vector field in two dimensions, has its core the field singularity and its topological charge defined by the quantized winding angle of the vector field. Vortices are one of the most fundamental topological excitations in nature,
Ang Chen +9 more
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