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Displaying 21 – 40 of 67

On property (β) of Rolewicz in Köthe-Bochner sequence spaces

Henryk Hudzik, Paweł Kolwicz (2004)

Studia Mathematica

We study property (β) in Köthe-Bochner sequence spaces E(X), where E is any Köthe sequence space and X is an arbitrary Banach space. The question of whether or not this geometric property lifts from X and E to E(X) is examined. We prove that if dim X = ∞, then E(X) has property (β) if and only if X has property (β) and E is orthogonally uniformly convex. It is also showed that if dim X < ∞, then E(X) has property (β) if and only if E has property (β). Our results essentially extend and improve...

On some classes of function sequence spaces

M. G. Lazić (1975)

Matematički Vesnik

On some convexities of Orlicz and Orlicz-Bochner spaces

S. Chen, Henryk Hudzik (1988)

Commentationes Mathematicae Universitatis Carolinae

On some convexity properties of Orlicz spaces of vector valued functions.

Henryk Hudzik (1989)

Revista Matemática de la Universidad Complutense de Madrid

On some geometric properties in C(K,X) and C(K,X)*.

Antonio Aizpuru (1994)

Collectanea Mathematica

On some geometric properties of certain Köthe sequence spaces

Yunan Cui, Henryk Hudzik, Tao Zhang (1999)

Mathematica Bohemica

It is proved that if a Kothe sequence space $X$ is monotone complete and has the weakly convergent sequence coefficient WCS $(X) > 1$ , then $X$ is order continuous. It is shown that a weakly sequentially complete Kothe sequence space $X$ is compactly locally uniformly rotund if and only if the norm in $X$ is equi-absolutely continuous. The dual of the product space ${(⨁_{i = 1}^{\infty} X_{i})}_{Φ}$ of a sequence of Banach spaces ${(X_{i})}_{i = 1}^{\infty}$ , which is built by using an Orlicz function $Φ$ satisfying the $Δ_{2}$ -condition, is computed isometrically (i.e. the exact...

On some subsets of $L_{1} (μ, E)$

Fernando Bombal (1991)

Czechoslovak Mathematical Journal

On spaces of continous functions with values in coechelon spaces

Pavel Domanski (1998)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

On spaces of measurable functions

C. Bessaga, A. Pełczyński (1972)

Studia Mathematica

On spreading models in $L^{1} (E)$

Michel Talagrand (1984)

Annales scientifiques de l'École Normale Supérieure

On Strongly WCG Banach Spaces.

Georg Schlüchtermann, R.F. Wheeler (1988)

Mathematische Zeitschrift

On subnormal operators whose spectrum are multiply connected domains.

Carlsson, M. (2011)

The New York Journal of Mathematics [electronic only]

On Taylor functional calculus

S. Frunzǎ (1975)

Studia Mathematica

On the Banach-Stone problem

Jyh-Shyang Jeang, Ngai-Ching Wong (2003)

Studia Mathematica

Let X and Y be locally compact Hausdorff spaces, let E and F be Banach spaces, and let T be a linear isometry from C₀(X,E) into C₀(Y,F). We provide three new answers to the Banach-Stone problem: (1) T can always be written as a generalized weighted composition operator if and only if F is strictly convex; (2) if T is onto then T can be written as a weighted composition operator in a weak sense; and (3) if T is onto and F does not contain a copy of $ℓ ₂^{\infty}$ then T can be written as a weighted composition...

Currently displaying 21 – 40 of 67

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Displaying 21 – 40 of 67

On property (β) of Rolewicz in Köthe-Bochner sequence spaces

On some classes of function sequence spaces

On some convexities of Orlicz and Orlicz-Bochner spaces

On some convexity properties of Orlicz spaces of vector valued functions.

On some geometric properties in C(K,X) and C(K,X)*.

On some geometric properties of certain Köthe sequence spaces

On some subsets of $L_{1} (μ, E)$

On spaces of continous functions with values in coechelon spaces

On spaces of measurable functions

On spreading models in $L^{1} (E)$

On Strongly WCG Banach Spaces.

On subnormal operators whose spectrum are multiply connected domains.

On Taylor functional calculus

On the Banach-Stone problem

On the Banach-Stone Theorem.

On the Beurling-Lax theorem for domains with one hole.

On the closure of modules of continuously differentiable mappings

On the dual space $C_{0}^{*} (S, X)$ .

On the dual space of $H_{B}^{1, \infty}$

On the Dunford-Pettis property

Currently displaying 21 – 40 of 67