Concepts in Vector Spaces with Convergence Structures
Canadian mathematical bulletin, Tome 18 (1975) no. 4, pp. 499-502
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Limit vector spaces ('limitierte Vektorräume') were defined by Fischer [1] and concepts such as continuity, compactness, etc. were introduced and studied by him and others, e.g. by Kent [3]. In this paper the concepts of precompactness and boundedness in limit vector spaces are studied. It is shown that most of their properties in topological vector spaces hold in limit vector spaces.
Concepts in Vector Spaces with Convergence Structures. Canadian mathematical bulletin, Tome 18 (1975) no. 4, pp. 499-502. doi: 10.4153/CMB-1975-091-3
@misc{10_4153_CMB_1975_091_3,
title = {Concepts in {Vector} {Spaces} with {Convergence} {Structures}},
journal = {Canadian mathematical bulletin},
pages = {499--502},
year = {1975},
volume = {18},
number = {4},
doi = {10.4153/CMB-1975-091-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-091-3/}
}
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