Results 31 to 40 of about 8,296,713 (306)

On some spaces of summable sequences and their duals

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
Suppose that S is the space of all summable sequences α with ‖α‖S=supn≥0|∑j=n∞αj| and J the space of all sequences β of bounded variation with ‖β‖J=|β0|+∑j=1∞|βj−βj−1|.
Geraldo Soares de Souza, G. O. Golightly
doaj   +1 more source

On sequence spaces for Fr\'echet frames

open access: yes, 2008
We analyze the construction of a sequence space $\widetilde{\Theta}$, resp. a sequence of sequence spaces, in order to have $\{g_i\}$ as a $\widetilde{\Theta}$-frame or Banach frame for a Banach space $X$, resp. pre-$F$-frame or $F$-frame for a Fr\'echet
Albiac F.   +5 more
core   +1 more source

Spaces Defined by Sequences [PDF]

open access: yesProceedings of the American Mathematical Society, 1976
The biquotient, countably biquotient, hereditarily quotient, and quotient images of q q -spaces are classified. Also, the quotient images of paracompact M M -spaces, and the quotient images of M M -spaces are classified without any separation axioms.
openaire   +2 more sources

Riesz I–convergent sequence spaces

open access: yesProyecciones (Antofagasta), 2023
In this article we have introduced some new sequence spaces  as a domain of triangular Riesz matrix, and study some of their algebraic and topological properties. Further, our work will devote to argue some inclosions regarding those fore-said sequence spaces.
Khan, Vakeel A., Rahman, Zahid
openaire   +3 more sources

Multipliers of sequence spaces

open access: yesConcrete Operators, 2017
This paper is selective survey on the space lAp and its multipliers.
Cheng Raymond   +2 more
doaj   +1 more source

The Gysin Sequence for Quantum Lens Spaces

open access: yes, 2014
We define quantum lens spaces as `direct sums of line bundles' and exhibit them as `total spaces' of certain principal bundles over quantum projective spaces.
Arici, Francesca   +2 more
core   +1 more source

Mersenne Matrix Operator and Its Application in $p-$Summable Sequence Space

open access: yesCommunications in Advanced Mathematical Sciences
In this study, it is introduced the regular Mersenne matrix operator which is obtained by using Mersenne numbers and examined sequence spaces described as the domain of this matrix in the space of $p$-summable sequences for $1\leq p \leq \infty$.
Sezer Erdem, Serkan Demiriz
doaj   +1 more source

A note on Köthe-Toeplitz duals of certain sequence spaces and their matrix transformations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
In this paper we define the sequence spaces Sℓ∞(p), Sc(p) and Sc0(p) and determine the Köthe-Toeplitz duals of Sℓ∞(p). We also obtain necessary and sufficient conditions for a matrix A to map Sℓ∞(p) to ℓ∞ and investigate some related problems.
B. Choudhary, S. K. Mishra
doaj   +1 more source

Coarse and uniform embeddings between Orlicz sequence spaces

open access: yes, 2013
We give an almost complete description of the coarse and uniform embeddability between Orlicz sequence spaces. We show that the embeddability between two Orlicz sequence spaces is in most cases determined only by the values of their upper Matuszewska ...
F Albiac   +11 more
core   +1 more source

Schutt's theorem for vector-valued sequence spaces

open access: yes, 2013
The entropy numbers of certain finite-dimensional operators acting between vector-valued sequence spaces are estimated, thus providing a generalization of the famous result of Schutt.
Edmunds, David E, Netrusov, Yuri
core   +1 more source

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