Results 91 to 100 of about 2,758,163 (163)
On Schauder Frames in Conjugate Banach Spaces
Weak*-Schauder frame in conjugate Banach spaces has been introduced and studied. A sufficient condition for the existence of weak*-Schauder frame in the conjugate space of a separable Banach space has been given.
S. K. Kaushik +2 more
doaj +1 more source
Abstract We say that a plane set A$A$ is graph‐null, if there is a function g:[0,1]→R$g\colon [0,1]\rightarrow {\mathbb {R}}$ such that λ2(A+graphg)=0$\lambda _2 (A+{\rm graph}\, g)=0$. A plane set A$A$ has the translational Kakeya property if, for every translated copy A′$A^{\prime }$ of A$A$ and for every ε>0$\varepsilon >0$, there is a finite ...
M. Laczkovich, A. Máthé
wiley +1 more source
The Modulus of Nearly Uniform Smoothness in Orlicz Sequence Spaces
It is well known that the modulus of nearly uniform smoothness related with the fixed point property is important in Banach spaces. In this paper, we prove that the modulus of nearly uniform smoothness in Köthe sequence spaces without absolutely ...
Shaoyong Zhang +2 more
doaj +1 more source
On Some Lacunary Almost Convergent Double Sequence Spaces and Banach Limits
The object of this paper is to introduce some new sequence spaces related with the concept of lacunary strong almost convergence for double sequences and also to characterize these spaces through sublinear functionals that both dominate and generate ...
Metin Başarır, Şükran Konca
doaj +1 more source
On the classes of hereditarily $\ell_p$ Banach spaces [PDF]
summary:Let $X$ denote a specific space of the class of $X_{\alpha ,p}$ Banach sequence spaces which were constructed by Hagler and the first named author as classes of hereditarily $\ell _p$ Banach spaces. We show that for $p>1$ the Banach space $X$
Azimi, P., Ledari, A. A.
core +1 more source
Moduli and Characteristics of Monotonicity in Some Banach Lattices
First the characteristic of monotonicity of any Banach lattice X is expressed in terms of the left limit of the modulus of monotonicity of X at the point 1.
Miroslav Krbec +3 more
doaj +1 more source
On the Domain of the Pell-Lucas Matrix in the Spaces c and c_0
In this study, we introduce new Banach sequence spaces $c(\Theta), c_0(\Theta)$, defined via a regular infinite matrix $ \Theta = (\lambda_{nk})$, where \[ \Theta_{nk} = \begin{cases} \dfrac{2\lambda_k}{3\lambda_n+\lambda_{n-1}} & 0 \leq k \leq n ...
Shiva Shah
doaj +1 more source
Compact well-bounded operators [PDF]
Every compact well-bounded operator has a representation as a linear combination of disjoint projections reminiscent of the representation of compact self-adjoint operators. In this note we show that the converse of this result holds, thus characterizing
Qingping, C., Doust, I.
core
Banach-Saks property in some Banach sequence spaces [PDF]
It is proved that for any Banach space X property (β) defined by Rolewicz in [22] implies that both X and X* have the Banach-Saks property. Moreover, in Musielak-Orlicz sequence spaces, criteria for the Banach-Saks property, the near uniform convexity ...
Cui, Yunan +2 more
core
Genericity and amalgamation of classes of Banach spaces
We study universality problems in Banach space theory. We show that if A is an analytic class, in the Effros–Borel structure of subspaces of C([0,1]), of non-universal separable Banach spaces, then there exists a non-universal separable Banach space Y ...
Argyros, Spiros A. +5 more
core +1 more source

