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On Dragilev type power Köthe spaces

P. Djakov, V. Zahariuta (1996)

Studia Mathematica

A complete isomorphic classification is obtained for Köthe spaces X = K ( e x p [ χ ( p - κ ( i ) ) - 1 / p ] a i ) such that X q d X 2 ; here χ is the characteristic function of the interval [0,∞), the function κ: ℕ → ℕ repeats its values infinitely many times, and a i . Any of these spaces has the quasi-equivalence property.

On duals of Calderón-Lozanovskiĭ intermediate spaces

Yves Raynaud (1997)

Studia Mathematica

We give a description of the dual of a Calderón-Lozanovskiĭ intermediate space φ(X,Y) of a couple of Banach Köthe function spaces as an intermediate space ψ(X*,Y*) of the duals, associated with a "variable" function ψ.

On embedding l1 as a complemented subspace of Orlicz vector valued function spaces.

Fernando Bombal Gordón (1988)

Revista Matemática de la Universidad Complutense de Madrid

Several conditions are given under which l1 embeds as a complemented subspace of a Banach space E if it embeds as a complemented subspace of an Orlicz space of E-valued functions. Previous results in Pisier (1978) and Bombal (1987) are extended in this way.

On embedding theorems

Kolyada, Viktor I. (2007)

Nonlinear Analysis, Function Spaces and Applications

This paper is devoted to embedding theorems for classes of functions of several variables. One of our main objectives is to give an analysis of some basic embeddings as well as to study relations between them. We also discuss some methods in this theory that were developed in the last decades. These methods are based on non-increasing rearrangements of functions, iterated rearrangements, estimates of sections of functions, related mixed norms, and molecular decompositions.

Currently displaying 361 – 380 of 1948