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Properties of absolute summability matrices [PDF]
Proceedings of the American Mathematical Society, 1970 The inverse image of 11 under A is denoted by IA. In [7, p. 129] Steinhaus proved, that if A is a regular (i.e., limitpreserving) matrix, then there is a sequence of 0's and l's such that Ax is not convergent. It follows immediately that a regular matrix cannot sum every bounded sequence. (Cf. [6].) The principal result of this paper is the analogue of
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Countable state shifts and uniqueness of g-measures
, 2005 In this paper we present a new approach to studying g-measures which is based upon local absolute continuity. We extend the result in [11] that square summability of variations of g-functions ensures uniqueness of g-measures.
Johansson, Anders +2 more
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FEBS Letters, EarlyView.We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
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Molecular Oncology, EarlyView.Development of therapies targeting cancer‐associated fibroblasts (CAFs) necessitates preclinical model systems that faithfully represent CAF–tumor biology. We established an in vitro coculture system of patient‐derived pancreatic CAFs and tumor cell lines and demonstrated its recapitulation of primary CAF–tumor biology with single‐cell transcriptomics ...
Elysia Saputra +10 more
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On Absolute Summability Factors
Rocky Mountain Journal of Mathematics, 2003 \textit{T. M. Flett} [Proc.~Lond. Math.~Soc., III. Ser. 7, 113--141 (1957; Zbl 0109.04402)] has defined absolute summability of order \(k\) in the following manner:\ Let \(\{s_n\}\) be the sequence of partial sums of the infinite series \(\sum a_n\), and let \(\sigma_n^\alpha\) denote the \(n\)th Cesàro mean, of order \(\alpha>-1\), of \(\{s_n ...
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, 2013 It is proved a $BMO$-estimation for quadratic partial sums of two-dimensional Fourier series from which it is derived an almost everywhere exponential summability of quadratic partial sums of double Fourier ...
Goginava, U. +2 more
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Molecular Oncology, EarlyView.Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
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Summability factors between the absolute Cesàro methods
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 If Σε_{n}x_{n} is summable by the method Y whenever Σx_{n} is summable by the method X, then we say that the factor ε=(ε_{n}) is of type (X,Y) and denote by (X,Y).
G. Canan Hazar Güleç
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On Absolute Riesz Summability Factors
Journal of Mathematical Analysis and Applications, 2000 \textit{H. Bor} and \textit{H. Seyhan} [Indian J. Pure Appl. Math. 30, No. 10, 1041-1046 (1999; Zbl 0942.40001)] proved a theorem on \(|\overline N,p_n, \delta|_k\), \(k\geq 1\) and \(0\leq ...
Ozarslan, Hikmet, Bor, Hüseyin
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Interrogating the immune landscape of microsatellite stable RAS‐mutated colon cancer
Molecular Oncology, EarlyView.COLOSSUS project RAS‐mutated MSS colon cancer study explored transcriptomics and immune cell density by immunohistochemistry (IHC), Immunoscore (IS), ISIC/TuLIS scores, mutation counts, and detected different prevalences but similar microenvironment composition across immune markers with clinical relevance for future immunotherapy combination ...
Rodrigo Dienstmann +61 more
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