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   Articles with "convex spaces" as a keyword



A Note on Supercyclic Operators in Locally Convex Spaces

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recommendations! Published in 2019 at "Mediterranean Journal of Mathematics"

DOI: 10.1007/s00009-019-1386-y

Abstract: We treat some questions related to supercyclicity of continuous linear operators when acting in locally convex spaces. We extend results of Ansari and Bourdon and consider doubly power bounded operators in this general setting. Some… read more here.

Keywords: locally convex; convex spaces; note supercyclic; operators locally ... See more keywords

Lattice-equivalence of convex spaces

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recommendations! Published in 2019 at "Algebra universalis"

DOI: 10.1007/s00012-019-0600-x

Abstract: The links between order and topology have been extensively studied. The objective of this paper is to study the similar links between convex spaces and order structures via the lattices of convex sets. In particular,… read more here.

Keywords: convex spaces; topology; equivalence convex; convex ... See more keywords
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Orthogonality in locally convex spaces: Two nonlinear generalizations of Neumann's lemma

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recommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2019.123663

Abstract: Abstract In this note we prove a symmetric version of the Neumann lemma as well as a symmetric version of the Soderlind-Campanato lemma. We establish in this way two partial generalizations of the well-known Casazza-Christenses… read more here.

Keywords: two nonlinear; spaces two; orthogonality locally; convex spaces ... See more keywords

Further research on separated degrees of M-fuzzifying convex spaces

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recommendations! Published in 2024 at "Hacettepe Journal of Mathematics and Statistics"

DOI: 10.15672/hujms.1348816

Abstract: In this paper, we redefine the concepts of join spaces and product spaces of M-fuzzifying convex spaces. Then we further investigate the S_i (i=0,1,2) separated degrees of an M-fuzzifying convex space in a logical viewpoint.… read more here.

Keywords: convex spaces; fuzzifying convex; separated degrees; degrees fuzzifying ... See more keywords

Fixed point theorems for countably asymptotically Ф-nonexpansive maps in locally convex spaces and application

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recommendations! Published in 2020 at "Filomat"

DOI: 10.2298/fil2003879b

Abstract: In this paper, we introduce the concept of a countably asymptotically ?-nonexpansive operator. In addition, we establish new fixed point results for some countably asymptotically ?-nonexpansive and sequentially continuous maps, fixed-point results of Krasnosel?skii type… read more here.

Keywords: convex spaces; asymptotically nonexpansive; locally convex; countably asymptotically ... See more keywords

Gelfand–Phillips Type Properties of Locally Convex Spaces

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recommendations! Published in 2024 at "Mathematics"

DOI: 10.3390/math12223537

Abstract: We let 1≤p≤q≤∞. Being motivated by the classical notions of the Gelfand–Phillips property and the (coarse) Gelfand–Phillips property of order p of Banach spaces, we introduce and study different types of the Gelfand–Phillips property of… read more here.

Keywords: gelfand phillips; convex spaces; locally convex; phillips type ... See more keywords