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β-Dual of Vector-Valued Double Sequence Spaces of Maddox

International Journal of Mathematics Trends and Technology, 2017
N. Srivastava
openaire   +2 more sources

Matrix transforms into the speed-Maddox spaces over ultrametric fields II

Publications de l'Institut Mathématique (Beograd)
Let K be a complete, non-trivially valued, ultrametric (or non-archimedean) field. We recall the notions of boundedness and convergence with speed and speed-Maddox spaces over K , where the speed is defined by a sequence \mu = \{\mu_n\} in K ...
P. Natarajan, A. Aasma
semanticscholar   +1 more source

Matrix transforms into the speed-Maddox spaces over ultrametric fields

Annals of the Alexandru Ioan Cuza University - Mathematics
Let K be a complete, non-trivially valued, ultrametric (or non-archimedean) field. Entries of sequences, infinite series and infinite matrices are in K. In this paper are defined the notions of speed-Maddox spaces over K, where the speed is defined by a ...
P. Natarajan, A. Aasma
semanticscholar   +1 more source

Some classes of matrix transforms related to speed-Maddox spaces over ultrametric fields

Acta et commentationes Universitatis Tartuensis de mathematica
Let K be a complete, non-trivially valued, ultrametric (or non-archimedean) field, and λ = {λn} − a sequence in K with the property 0 < |λn| ↗ ∞, n ➝ ∞, i.e., the speed of convergence.
A. Aasma, P. Natarajan
semanticscholar   +1 more source

MATRIX TRANSFORMS BETWEEN SPEED-MADDOX SPACES OVER ULTRAMETRIC FIELD

Facta Universitatis Series Mathematics and Informatics
Let $\K$ be a complete, non-trivially valued, ultrametric (or non-archimedean) field, and $\lambda = \{\lambda_n\}$ be a sequence in $\K$ with the property $0 < |\lambda_n| \nearrow \infty, n \to \infty$, i.e., the speed of convergence. In this paper, we
P. Natarajan, A. Aasma
semanticscholar   +1 more source

Linear structure in certain subsets of quasi-Banach sequence spaces

, 2017
For we prove that there is a -dimensional subspace of such that, except for the null vector, all of its vectors fail to be absolutely (r, s)-summing regardless of the real numbers r, s, with . This extends a result proved by Maddox in 1987. Moreover, the
D. Tomaz
semanticscholar   +1 more source

Sequence spaces defined by a modulus

Mathematical Proceedings of the Cambridge Philosophical Society, 1986
I. J. Maddox
semanticscholar   +1 more source

Paranormed sequence spaces generated by infinite matrices

Mathematical Proceedings of the Cambridge Philosophical Society, 1968
I. J. Maddox
semanticscholar   +1 more source

Cancer epigenetics in clinical practice

Ca-A Cancer Journal for Clinicians, 2023
Veronica Davalos, Manel Esteller
exaly  

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