Results 11 to 20 of about 15,526 (146)
Communications in Advanced Mathematical Sciences, 2021 In this study, a special lower triangular matrix derived by combining Riesz matrix and Euler totient matrix is used to construct new Banach spaces. $\alpha-$,$\beta-$,$\gamma-$duals of the resulting spaces are obtained and some matrix operators ...
Mehmet Akif Bayrakdar, Merve İlkhan
doaj
Dera Natung Government College Research JournalThe characterization of compact operators on BK-spaces, which is the basis of this research, makes use of the Hausdorff measure of non-compactness. In this study, the compactness criteria of matrix operators defined on BK-spaces $\ell_p(\mathcal{T})$ and
Sezer Erdem, Serkan Demiriz
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Compact operators on the Motzkin sequence space $c_0(\mathcal{M})$
Journal of New Results in ScienceThe concept of non-compactness measure is extremely beneficial for functional analysis in theories, such as fixed point and operator equations. Apart from these, the Hausdorff measure of non-compactness also has some applications in the theory of ...
Sezer Erdem
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The gap between Gromov-vague and Gromov-Hausdorff-vague topology
, 2016 In Athreya, L\"ohr, Winter (2016), an invariance principle is stated for a class of strong Markov processes on tree-like metric measure spaces. It is shown that if the underlying spaces converge Gromov vaguely, then the processes converge in the sense of
Athreya, Siva +2 more
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, 2016 This paper has three parts. First, we study and characterize amenable and extremely amenable topological semigroups in terms of invariant measures using integral logic.
Khanaki, Karim
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The degree of nondensifiability of linear bounded operators and its applications
Applied General TopologyIn the present paper we define the degree of nondensifiability (DND for short) of a bounded linear operator T on a Banach space and analyze its properties and relations with the Hausdorff measure of non-compactness (MNC for short) of T. As an application
Gonzalo García, Gaspar Mora
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, 2017 The aim of the paper is to introduce the spaces $\ell_{\infty}^ (\widehat{F})$ and $\ell_{p}^ (\widehat{F})$ derived by the composition of the two infinite matrices $ =( _{nk})$ and $\widehat{F}=\left( f_{nk} \right),$ which are the $BK$-spaces of non-absolute type and also derive some inclusion relations. Further, we determine the $ $-, $ $-, $
Das, Anupam +2 more
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BMPCQA: Bioinspired Metaverse Point Cloud Quality Assessment Based on Large Multimodal Models
Advanced Intelligent Systems, EarlyView.This study presents a bioinspired metaverse point cloud quality assessment metric, which simulates the human visual evaluation process to perform the point cloud quality assessment task. It first extracts rendering projection video features, normal image features, and point cloud patch features, which are then fed into a large multimodal model to ...
Huiyu Duan +7 more
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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ChemSusChem, Volume 18, Issue 6, March 15, 2025.The product profile of enzymatically hydrolyzed PET can be modified by medium engineering and thereby adapted to a desired product. TPA, MHET or BHET can be forced as the predominant product using a basic pH (blue), 25 % ethylene glycol (EG) and IsPETasewt (green) or ≥25 % EG and LCCICCG (pink), respectively.
Tobias Heinks +8 more
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