Results 21 to 30 of about 9,771 (187)
On classes of Banach spaces admitting "small" universal spaces [PDF]
We characterize those classes $\ccc$ of separable Banach spaces admitting a separable universal space $Y$ (that is, a space $Y$ containing, up to isomorphism, all members of $\ccc$) which is not universal for all separable Banach spaces.
Dodos, Pandelis
core +3 more sources
Orthogonal bases in a topological algebra are Schauder bases
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
The Application Domain of Infinite Matrices with Algorithms
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 New Paranormed Sequence Space Defined by Regular Bell Matrix
This paper aims to construct a new paranormed sequence space by the aid of a regular matrix of Bell numbers. As well, its special duals such as α−,β−,γ− duals are presented and Schauder basis is determined.
Murat Karakaş, Muhammet Cihat Dağlı
doaj +1 more source
Some Generalized Versions of Chevet–Saphar Tensor Norms
The paper is concerned with some generalized versions gE and wE of classical tensor norms. We find a Banach space E for which gE and wE are finitely generated tensor norms, and show that gE and wE are associated with the ideals of some E-nuclear ...
Ju Myung Kim
doaj +1 more source
Commutative subalgebras of the algebra of smooth operators [PDF]
We consider the Fr\'echet ${}^*$-algebra $L(s',s)$ of the so-called smooth operators, i.e. continuous linear operators from the dual $s'$ of the space $s$ of rapidly decreasing sequences into $s$. This algebra is a non-commutative analogue of the algebra
Ciaś, Tomasz
core +2 more sources
Some New Characterizations and g-Minimality and Stability of g-Bases in the Hilbert Spaces
The concept of g-basis in the Hilbert spaces is introduced by Guo (2012) who generalizes the Schauder basis in the Hilbert spaces. g-basis plays the similar role in g-frame theory to that the Schauder basis plays in frame theory.
Xunxiang Guo
doaj +1 more source
Continuous lattice ordering by Schauder basis cones [PDF]
Let (E, τ \tau ) be a barrelled Hausdorff space lattice ordered by the cone of an unconditional Schauder basis ( x n , f n ) ({x_n},{f_n}) . It is shown that under such an ordering (E, T) is a
openaire +2 more sources
MV-algebras freely generated by finite Kleene algebras [PDF]
If V and W are varieties of algebras such that any V-algebra A has a reduct U(A) in W, there is a forgetful functor U: V->W that acts by A |-> U(A) on objects, and identically on homomorphisms.
Aguzzoli, Stefano +2 more
core +1 more source
Embedding subspaces of 𝑙ⁿ_{∞} into spaces with Schauder basis [PDF]
It is proved that for sufficiently small ε > 0 \varepsilon > 0 and any 0 > δ > 1 / 2 0 > \delta > 1/2 , a random n n -dimensional subspace E E of l ...
Piotr Mankiewicz +1 more
openaire +1 more source

