Twisted Group C*-Algebras as Compact Quantum Metric Spaces
Sign Up to like & getrecommendations! Published in 2017 at "Results in Mathematics"
DOI: 10.1007/s00025-016-0562-7
Abstract: We construct a class of compact quantum metric spaces. We prove that twisted reduced group C*-algebras for discrete groups with twisted rapid decay property are compact quantum metric spaces, which contain noncommutative tori, hyperbolic reduced… read more here.
Keywords: quantum metric; group algebras; compact quantum; metric spaces ... See more keywords
Frames for Metric Spaces
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DOI: 10.1007/s00025-021-01583-3
Abstract: We make a systematic study of frames for metric spaces. We prove that every separable metric space admits a metric $${\mathcal {M}}_d$$ M d -frame. Through Lipschitz-free Banach spaces we show that there is a… read more here.
Keywords: metric spaces; frames metric; spaces frames;
On average Hewitt–Stromberg measures of typical compact metric spaces
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-019-02239-3
Abstract: We study average Hewitt–Stromberg measures of typical compact metric spaces belonging to the Gromov–Hausdorff space (of all compact metric spaces) equipped with the Gromov–Hausdorff metric. read more here.
Keywords: compact metric; measures typical; stromberg measures; metric spaces ... See more keywords
A robust extension of VIKOR method for bipolar fuzzy sets using connection numbers of SPA theory based metric spaces
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DOI: 10.1007/s10462-020-09859-w
Abstract: The purpose of this study is to introduce an innovative multi-attribute group decision making (MAGDM) based on bipolar fuzzy set (BFS) by unifying“ VIseKriterijumska Optimizacija I Kompromisno Rasenje (VIKOR)” method. The VIKOR method is considered… read more here.
Keywords: theory; vikor method; metric spaces; method ... See more keywords
A common fixed point theorem of Jungck in rectangular b-metric spaces
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DOI: 10.1007/s10474-017-0750-2
Abstract: We give a proof for the common fixed point theorem of Jungck in rectangular b-metric spaces. As a corollary, we obtain well known common fixed point theorems in b-metric spaces. read more here.
Keywords: theorem jungck; point theorem; common fixed; metric spaces ... See more keywords
Min-max property in metric spaces with convex structure
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DOI: 10.1007/s10474-018-0857-0
Abstract: In the setting of convex metric spaces, we introduce the two geometric notions of uniform convexity in every direction as well as sequential convexity. They are used to study a concept of proximal normal structure.… read more here.
Keywords: min max; max property; metric spaces; property metric ... See more keywords
On Haver’s Theorem in the Category of Filtered Metric Spaces
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DOI: 10.1007/s10958-019-04167-3
Abstract: We extend Haver’s theorem on the characterization of absolute extensors in the class of countable-dimensional spaces to the category of metric filtered spaces. read more here.
Keywords: category; category filtered; metric spaces; haver theorem ... See more keywords
Metric Spaces of Bounded Analytical Functions
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DOI: 10.1007/s10958-019-04460-1
Abstract: In this paper, we consider classes of analytical functions that map the unit disk into itself. Functions of these classes can be described in terms of hyperbolic derivative and hyperbolic metric. Under an appropriate choice… read more here.
Keywords: spaces bounded; analytical functions; bounded analytical; metric spaces ... See more keywords
Local behavior of mappings of metric spaces with branching
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DOI: 10.1007/s10958-021-05314-5
Abstract: The local behavior of mappings with the inverse Poletsky inequality between metric spaces is studied. The case where one of the spaces satisfies the condition of weak sphericalization, is similar to the Riemannian sphere (extended… read more here.
Keywords: mappings metric; metric spaces; spaces branching; local behavior ... See more keywords
Proximal-type algorithms for split minimization problem in P-uniformly convex metric spaces
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DOI: 10.1007/s11075-018-0633-9
Abstract: In this paper, we study strong convergence of some proximal-type algorithms to a solution of split minimization problem in complete p-uniformly convex metric spaces. We also analyse asymptotic behaviour of the sequence generated by Halpern-type… read more here.
Keywords: algorithms; uniformly convex; metric spaces; minimization ... See more keywords
Some fixed point results for relation theoretic weak $$\varphi $$-contractions in cone metric spaces equipped with a binary relation and application to the system of Volterra type equations
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DOI: 10.1007/s11117-019-00719-8
Abstract: In this paper, some fixed point results for relation theoretic weak \(\varphi \)-contractions on cone metric spaces which is defined over a Banach algebra and equipped with a binary relation are proved. These results extend… read more here.
Keywords: point results; metric spaces; relation theoretic; cone metric ... See more keywords