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Advanced Functional Materials, EarlyView.A spin group (SG)‐based mechanism is proposed to realize a single pair of Weyl points. PT‐symmetric nodal lines (NLs) persist under T‐breaking, protected by the combination of SG and P symmetry. When considering spin‐orbit coupling, the SG‐protected NL will split into Weyl points, which will also induce anomalous transport phenomena arising from ...
Shifeng Qian +6 more
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Absolute riesz summability factors
Periodica Mathematica Hungarica, 1989The pioneer work of \textit{G. Sunouchi} [Kōdai Math. Seminar Reports 6, 59-62 (1954; Zbl 0057.300)] was generalized by Rath. The authors have extended Rath's result in the Indian J. Pure Appl. Math. 16, 1162-1180 (1985; Zbl 0586.40004)]. The present work is an improvement over author's previous results in the sense that here the result is obtained by ...
Sukla, Indulata, Mohanty, Peari Charan
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On Linear Functionals and Summability Factors for Strong Summability II
Canadian Journal of Mathematics, 1978The first part of this paper, which will be referred to by I, appeared in Volume 30 of this journal. The present paper will use the same bibliography as I.Theorem 1 in I shows that the knowledge of all continuous linear functionals in o[A]p is essential in determining convergence and summability factors for strong summability.
Balser, W. +2 more
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Some summability factor theorems for absolute summability
Analysis, 2002The authors obtain a set of sufficient conditions on methods of summability and on sequences \(\left(e_n\right)\), so that \(\sigma a_n\) summable \(\left|\overline N,p_n\right|_k\) implies \(\sigma a_n e_n\) summable \(\left|T\right|_k\), with \(k\) greater than or equal to 1. As corollaries they obtain the results of \textit{W. T. Sulaiman} [Proc. Am.
Rhoades, B. E., Savaş, Ekrem
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Inequalities for summability factors
1992We consider two inequalities which are relevant for Cesaro summability factors. Combined use of these inequalities (in the realm of B K -spaces) leads to a rather short and lucid verification of Bosanquet’s theorem.
W. Beekmann, K. Zeller
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Journal of the London Mathematical Society, 1970
Irwin, R. L., Peterson, G. E.
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Irwin, R. L., Peterson, G. E.
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Absolute Cesàro summability factors
2002The author intends to generalize a theorem concerning \(|C,1|_k\) summability factors to \(|C,\alpha, \beta, \delta|_k\) summability using \(\delta\)-quasi-monotone sequences. Unfortunately his Lemma 3 is not correct, consequently the proof of the theorem is not complete. The author will publish a correction soon (personal information).
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Absolute Summability Factors in a Sequence
Canadian Mathematical Bulletin, 1984AbstractLet α≥0 and β>— 1. The main result gives necessary and sufficient conditions for the sequence (εn) in order that the sequence (εnUn) will be absolutely summable by the Cesàro method Cβ for each sequence (Un) which is bounded or summable by the method CαAnother theorem is proven when Cα and Cβ are replaced by triangular methods A = (ank) and ...
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