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On the totality of sequences in topological vector spaces

open access: yesJournal of Mathematical Analysis and Applications, 1978
AbstractPrice and Zink [Ann. of Math. 82 (1965), 139–145] gave necessary and sufficient conditions for the existence of a multiplier m so that {mΆn}1∞ is total; that is, the linear span is dense in L2[0, 1], thus answering a question raised by Boas and Pollard [Bull. Amer. Math. Soc. 54 (1948), 512–522].
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Heredity in fundamental left complemented algebras [PDF]

open access: yesSurveys in Mathematics and its Applications, 2016
In the present paper, we introduce the notion of a fundamental complemented linear space, through continuous projections. This notion is hereditary. Relative to this, we prove that if a certain topological algebra is fundamental, then a concrete subspace
Marina Haralampidou   +1 more
doaj  

Linear programs in topological vector spaces

open access: yesJournal of Mathematical Analysis and Applications, 1972
Versions of linear programming in abstract spaces have been formulated by Duffin [5], Hurewicz [8], Kretschmer [IO], Fan [6], and Ben-Israel, Charnes, and Kortanek (BCK) [2, 31. In this paper, yet another, rather geometric, formulation of linear programming is presented in which the duality theorem of classical linear programming holds almost verbatim (
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IF topological vector spaces [PDF]

open access: yesNotes on Intuitionistic Fuzzy Sets, 2018
Moumita Chiney, Syamal Kumar Samanta
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