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Hyperspaces of Topological Vector Spaces: Their Embedding in Topological Vector Spaces [PDF]

open access: greenProceedings of the American Mathematical Society, 1976
Let L L be a real (Hausdorff) topological vector space. The space K [ L ] \mathcal {K}[L] of nonempty compact subsets of L L forms a (Hausdorff) topological semivector space with singleton origin when K [ L
Prem Prakash, Murat R. Sertel
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Embedding in topological vector spaces [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1977
Let LX denote the set of all continuous linear functionals on the locally convex topological vector space X. The space L co X {L_{{\text {co}}}}X denotes LX endowed with the compact-open topology.
G. D. Richardson
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Spectral Radii of Bounded Operators on Topological Vector Spaces [PDF]

open access: green, 2000
In this paper we develop a version of spectral theory for bounded linear operators on topological vector spaces. We show that the Gelfand formula for spectral radius and Neumann series can still be naturally interpreted for operators on topological ...
Vladimir G. Troitsky
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Operator matrices on topological vector spaces

open access: bronzeJournal of Mathematical Analysis and Applications, 2002
In continuation to a paper of two of the present authors, see \textit{R. Li} and \textit{C. Swartz} [Acta Sci. Math. 58, 497-508 (1993; Zbl 0804.40003)], and based on a suitable uniform convergence principle established in \textit{R. Li} and \textit{M.-H. Cho} [J. Harbin Inst. Technol. 24, 107-108 (1992; Zbl 0970.46534)], the paper presents a series of
Ronglu Li, Shin Min Kang, Charles Swartz
openalex   +3 more sources

On symmetry in convex topological vector spaces [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1955
Seth Warner, Alexander Blair
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On realcompact topological vector spaces [PDF]

open access: yesRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2011
[EN] This survey paper collects some of older and quite new concepts and results from descriptive set topology applied to study certain infinite-dimensional topological vector spaces appearing in Functional Analysis, including Frechet spaces, (L F)-spaces, and their duals, (D F)-spaces and spaces of continuous real-valued functions C(X) on a completely
Kakol, Jerzy Marian   +1 more
openaire   +3 more sources

A Note on the Topology of Space-time in Special Relativity [PDF]

open access: yes, 2003
We show that a topology can be defined in the four dimensional space-time of special relativity so as to obtain a topological semigroup for time. The Minkowski 4-vector character of space-time elements as well as the key properties of special relativity ...
Bohm A   +5 more
core   +3 more sources

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