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Displaying 41 – 60 of 70

On the classes of hereditarily $ℓ_{p}$ Banach spaces

Parviz Azimi, A. A. Ledari (2006)

Czechoslovak Mathematical Journal

Let $X$ denote a specific space of the class of $X_{α, p}$ Banach sequence spaces which were constructed by Hagler and the first named author as classes of hereditarily $ℓ_{p}$ Banach spaces. We show that for $p > 1$ the Banach space $X$ contains asymptotically isometric copies of $ℓ_{p}$ . It is known that any member of the class is a dual space. We show that the predual of $X$ contains isometric copies of $ℓ_{q}$ where $\frac{1}{p} + \frac{1}{q} = 1$ . For $p = 1$ it is known that the predual of the Banach space $X$ contains asymptotically isometric copies of $c_{0}$ . Here we...

On the denseness of Jacobi polynomials.

Yadav, Sarjoo Prasad (2004)

International Journal of Mathematics and Mathematical Sciences

On the differentiation of convex functions

Zajíček, L. (1976)

Abstracta. 4th Winter School on Abstract Analysis

On the Dunford-Pettis property of tensor product spaces

Ioana Ghenciu (2011)

Colloquium Mathematicae

We give sufficient conditions on Banach spaces E and F so that their projective tensor product $E \otimes_{π} F$ and the duals of their projective and injective tensor products do not have the Dunford-Pettis property. We prove that if E* does not have the Schur property, F is infinite-dimensional, and every operator T:E* → F** is completely continuous, then $(E \otimes_{ϵ} F) *$ does not have the DPP. We also prove that if E* does not have the Schur property, F is infinite-dimensional, and every operator T: F** → E* is completely...

On the extremal points of the closed unit balls in some abstract spaces

Le Van Hot (1981)

Acta Universitatis Carolinae. Mathematica et Physica

On the John-Strömberg-Torchinsky Characterizstion of BMO.

Y. Sagher, P. Shvartsman (1998)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

On the LURWC property of Orlicz sequence space.

Li Yanhong, Wang Tingfu (1997)

Collectanea Mathematica

Necessary and sufficient conditions for URWC points and LURWC property are given in Orlicz sequence space lM.

On the non- $l_{n}^{(1)}$ and locally uniformly non- $l_{n}^{(1)}$ properties, and $l^{1}$ copies in Musielak-Orlicz spaces

Ghassan Alherk (1990)

Commentationes Mathematicae Universitatis Carolinae

On the positive projection constant

Carsten Schütt (1984)

Studia Mathematica

On the Relationship Between yp-Radonifying Operators and Other Operator Ideals in Banach Spaces of Stable Type p.

Yoshiaki Okazaki, Yashuii. Takahashi (1988)

Mathematische Annalen

On the relationships between Hp(T,X/Y) and Hp(T,X)/ Hp(T,Y).

Arthur Michalak (1997)

Collectanea Mathematica

On the smoothness of Orlicz sequence spaces equipped with Orlicz norm.

Zhongrui Shi, Tingfu Wang (1996)

Collectanea Mathematica

We give a criterion of smoothness of Orlicz sequence spaces with Orlicz norm.

On the structure of non-dentable subsets of $C (ω^{ω^{k}})$

Pericles D. Pavlakos, Minos Petrakis (2011)

Studia Mathematica

It is shown that there is no closed convex bounded non-dentable subset K of $C (ω^{ω^{k}})$ such that on subsets of K the PCP and the RNP are equivalent properties. Then applying the Schachermayer-Rosenthal theorem, we conclude that every non-dentable K contains a non-dentable subset L so that on L the weak topology coincides with the norm topology. It follows from known results that the RNP and the KMP are equivalent on subsets of $C (ω^{ω^{k}})$ .

On the Structure of Non-Weakly Compact Operators on Banach Lattices.

N. Ghoussoub, T. Figiel, W.B. Johnson (1981)

Mathematische Annalen

On the structure of the set of higher order spreading models

Bünyamin Sarı, Konstantinos Tyros (2014)

Studia Mathematica

We generalize some results concerning the classical notion of a spreading model to spreading models of order ξ. Among other results, we prove that the set $S M_{ξ}^{w} (X)$ of ξ-order spreading models of a Banach space X generated by subordinated weakly null ℱ-sequences endowed with the pre-partial order of domination is a semilattice. Moreover, if $S M_{ξ}^{w} (X)$ contains an increasing sequence of length ω then it contains an increasing sequence of length ω₁. Finally, if $S M_{ξ}^{w} (X)$ is uncountable, then it contains an antichain of size...

On the three-space property: non-containment of lp, 1 ≤ p < ∞, or c0 subspaces.

Juan Carlos Díaz Alcaide (1993)

Publicacions Matemàtiques

The main result in this paper is the following: Let E be a Fréchet space having a normable subspace X isomorphic to lp, 1 ≤ p < ∞, or to c0. Let F be a closed subspace of E. Then either F or E/F has a subspace isomorphic to X.

For Orlicz spaces endowed with the Orlicz norm and the Luxemburg norm, the criteria for uniformly nonsquare points and nonsquare points are given.

Currently displaying 41 – 60 of 70

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Displaying 41 – 60 of 70

On the classes of hereditarily $ℓ_{p}$ Banach spaces

On the denseness of Jacobi polynomials.

On the differentiation of convex functions

On the Dunford-Pettis property of tensor product spaces

On the extremal points of the closed unit balls in some abstract spaces

On the John-Strömberg-Torchinsky Characterizstion of BMO.

On the LURWC property of Orlicz sequence space.

On the non- $l_{n}^{(1)}$ and locally uniformly non- $l_{n}^{(1)}$ properties, and $l^{1}$ copies in Musielak-Orlicz spaces

On the positive projection constant

On the Relationship Between yp-Radonifying Operators and Other Operator Ideals in Banach Spaces of Stable Type p.

On the relationships between Hp(T,X/Y) and Hp(T,X)/ Hp(T,Y).

On the smoothness of Orlicz sequence spaces equipped with Orlicz norm.

On the structure of non-dentable subsets of $C (ω^{ω^{k}})$

On the Structure of Non-Weakly Compact Operators on Banach Lattices.

On the structure of the set of higher order spreading models

On the three-space property: non-containment of lp, 1 ≤ p < ∞, or c0 subspaces.

On the λ-property and spaces of convergent sequences.

On two classes of Banach spaces with uniform normal structure

On uncountable unconditional bases in Banach spaces

On uniformly nonsquare points and nonsquare points of Orlicz spaces

Currently displaying 41 – 60 of 70