Results 11 to 20 of about 8,297,223 (199)

Uniformly factoring weakly compact operators and parametrised dualisation

Forum of Mathematics, Sigma, 2021
This article deals with the problem of when, given a collection $\mathcal {C}$ of weakly compact operators between separable Banach spaces, there exists a separable reflexive Banach space Z with a Schauder basis so that every element in $\mathcal {C ...
L. Antunes, K. Beanland, B. M. Braga
doaj   +1 more source

Schauder Bases [PDF]

, 2023
Este Trabajo Fin de Máster está centrado principalmente en el estudio de las bases de Schauder en espacios de Banach. En primer lugar presentamos los resultados más relevantes relacionados con estas bases de Schauder, que nos permitirán establecer una ...
Mora Nieto, Andrea
core   +2 more sources

On Λ-Fibonacci difference sequence spaces of fractional order

Dera Natung Government College Research Journal, 2021
In this article, we introduce -Fibonacci difference operator of fractional order  which is obtained by the composition of -Fibonacci matrix  and backward fractional difference operator  defined by  and introduce the sequence spaces  and  We give some ...
Taja Yaying
doaj   +1 more source

Schauder Basis with Finite Blaschke Products [PDF]

Computational methods in Function Theory
We construct a Schauder basis for the space $Hol(\mathbb D)$, the space of holomorphic functions on the closed unit disk, consisting entirely of finite Blaschke products. The expansion coefficients are given explicitly. Our result remains valid when $Hol(
Emmanuel Fricain, J. Mashreghi, Mostafa Nasri, Maeva Ostermann   +3 more
semanticscholar   +1 more source

The Application Domain of Infinite Matrices with Algorithms

Universal Journal of Mathematics and Applications, 2018
The purpose of this paper is twofold. First, we define the new spaces and investigate some topological and structural properties. Also, we compute dual spaces of new spaces which are help us in the characterization of matrix mappings.
Murat Kirişçi
doaj   +1 more source

A Schauder basis for $L_1(0,\infty)$ consisting of non-negative functions [PDF]

, 2015
We construct a Schauder basis for $L_1$ consisting of non-negative functions and investigate unconditionally basic and quasibasic sequences of non-negative functions in $L_p$, $1\le p < \infty$.
W. Johnson, G. Schechtman
semanticscholar   +1 more source

Some New Cauchy Sequence Spaces

Universal Journal of Mathematics and Applications, 2018
In this paper, our goal is to introduce some new Cauchy sequence spaces. These spaces are defined by Cauchy transforms. We shall use notations $C_{\infty }\left( s,t\right) $, $C\left( s,t\right) $ and $C_{0}\left( s,t\right) ~$for these new sequence ...
Harun Polat
doaj   +1 more source

On a Conjecture about Schauder-Basis Properties of the Daubechies Wavelet Packets [PDF]

Applied and Computational Harmonic Analysis
Nielsen and Zhou (\emph{Mean size of wavelet packets}, ACHA 13 (2002), 22--34) conjectured that for every Daubechies filter of length at least four the associated wavelet packets fail to be a Schauder basis of $L^p(\mathbb{R})$ for every $p\neq2$; their ...
M. Nielsen
semanticscholar   +1 more source

A geometric characterization of Schauder basis [PDF]

, 1980
Concerning basis in a Banach space, a characterization for a weak basis to be a Schauder basis is given in terms of the geometrical behavior of the set of linear, closed hulls wich are generated by subsequences of the expansion sequences of the ...
Reyes Rodriguez, Andrés, A. Reyes
core   +1 more source

Orthogonal bases in a topological algebra are Schauder bases

International Journal of Mathematics and Mathematical Sciences, 1992
In a topological algebra with separately continuous multiplication, the result quoted in the title is proved.
Subbash J. Bhatt, G. M. Deheri
doaj   +1 more source