Lower and upper 2-estimates for order bounded sequences and Dunford-Pettis operators between certain classes of Banach lattices

1991 ◽  
pp. 159-170 ◽  
Author(s):  
Frank Räbiger
Keyword(s):  
Banach Lattices ◽  
Bounded Sequences

Compact Disjointness Preserving Polynomials on Quasi-Banach Lattices

2021 ◽  
pp. 124924
Author(s):  
A.G. Kusraev ◽  
Z.A. Kusraeva
Keyword(s):  
Banach Lattices ◽  
Disjointness Preserving

On lattice-almost isometric copies of $$c_0(\Gamma )$$ and $$\ell _1(\Gamma )$$ in Banach lattices

2021 ◽  
Author(s):  
Michael A. Rincón-Villamizar ◽  
Andrés Fabián Leal-Archila
Keyword(s):  
Banach Lattices

Orlicz lacunary sequence spaces of 𝑙-fractional difference operators

2020 ◽  
Vol 26 (2) ◽  
pp. 173-183
Author(s):  
Kuldip Raj ◽  
Kavita Saini ◽  
Anu Choudhary
Keyword(s):  
Difference Operator ◽  
Lacunary Sequence ◽  
Sequence Spaces ◽  
Difference Operators ◽  
Normed Spaces ◽  
Fractional Difference ◽  
New Approach ◽  
Inclusion Relations ◽  
Difference Sequence Spaces ◽  
Bounded Sequences

AbstractRecently, S. K. Mahato and P. D. Srivastava [A class of sequence spaces defined by 𝑙-fractional difference operator, preprint 2018, http://arxiv.org/abs/1806.10383] studied 𝑙-fractional difference sequence spaces. In this article, we intend to make a new approach to introduce and study some lambda 𝑙-fractional convergent, lambda 𝑙-fractional null and lambda 𝑙-fractional bounded sequences over 𝑛-normed spaces. Various algebraic and topological properties of these newly formed sequence spaces have been explored, and some inclusion relations concerning these spaces are also established. Finally, some characterizations of the newly formed sequence spaces are given.

scholarly journals Continuous functionals for unbounded convergence in Banach lattices

2021 ◽  
Author(s):  
Zhangjun Wang ◽  
Zili Chen ◽  
Jinxi Chen
Keyword(s):  
Banach Lattices ◽  
Continuous Functionals

Some applications of the complex interpolation method to Banach lattices

1979 ◽  
Vol 35 (1) ◽  
pp. 264-281 ◽  
Author(s):  
G. Pisier
Keyword(s):  
Interpolation Method ◽  
Banach Lattices ◽  
Complex Interpolation

Application of diluted matrices to bounded sequences. II

1952 ◽  
Vol 55 ◽  
pp. 181-190
Author(s):  
F.H. Jackson
Keyword(s):  
Bounded Sequences

Reflexivity in Banach lattices

1994 ◽  
Vol 63 (6) ◽  
pp. 549-552 ◽  
Author(s):  
Santiago D�az ◽  
Antonio Fern�ndez
Keyword(s):  
Banach Lattices

scholarly journals Banach spaces with property (w)

1993 ◽  
Vol 35 (2) ◽  
pp. 207-217 ◽  
Author(s):  
Denny H. Leung
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Banach Lattice ◽  
Banach Lattices ◽  
Weakly Compact ◽  
Type Spaces

A Banach space E is said to have Property (w) if every operator from E into E' is weakly compact. This property was introduced by E. and P. Saab in [9]. They observe that for Banach lattices, Property (w) is equivalent to Property (V*), which in turn is equivalent to the Banach lattice having a weakly sequentially complete dual. Thus the following question was raised in [9].Does every Banach space with Property (w) have a weakly sequentially complete dual, or even Property (V*)?In this paper, we give two examples, both of which answer the question in the negative. Both examples are James type spaces considered in [1]. They both possess properties stronger than Property (w). The first example has the property that every operator from the space into the dual is compact. In the second example, both the space and its dual have Property (w). In the last section we establish some partial results concerning the problem (also raised in [9]) of whether (w) passes from a Banach space E to C(K, E).

How do the positive embeddings of C0(K,X) Banach lattices depend on the αth derivatives of K?

2016 ◽  
Vol 290 (10) ◽  
pp. 1544-1552 ◽  
Author(s):  
Elói Medina Galego ◽  
Michael A. Rincón-Villamizar
Keyword(s):  
Banach Lattices ◽  
Derivatives Of

scholarly journals Ergodic Banach lattices

1990 ◽  
Vol 1 (4) ◽  
pp. 483-488
Author(s):  
Frank Räbiger
Keyword(s):  
Banach Lattices
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