On the mutually non isomorphic lp(lq) spaces, a survey

Abstract

In this note we survey the partial results needed to show the following general theorem: {lp(lq) : 1≤ p,q≤+∞} is a family of mutually non isomorphic Banach spaces. We also comment some related facts and open problems.

Authors and Affiliations

Pilar Cembranos, José Mendoza

Keywords

Related Articles

On a partial Hadamard fractional integral inclusion

We study a class of nonconvex Hadamard fractional integral inclusions and we establish some Filippov type existence results.

On the uniform convergence of sine, cosine and double sine-cosine series

In this paper we define new classes of sequences GM(β,r) and DGM(α,β,γ,r). Using these classes we generalize and extend the P.Kórus results concerning the uniform convergence of sine, cosine and double sine-cosine series...

Topological properties of some spaces of continuous operators

Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb(X,E) be the space of all E-valued bounded continuous functions on X, equipped with the strict topology β. We study topological properties of...

On properties of set-valued integrals driven by martingales and set-valued stochastic equations

In the paper we study properties of stochastic integrals of Aumann type driven by quadratic variation process and set-valued Itô integral with respect to martingale. Next, the existence, uniqueness and convergence proper...

Entropy solution for doubly nonlinear elliptic anisotropic problems with Fourier boundary conditions

The goal of this paper is to study nonlinear anisotropic problems with Fourier boundary conditions. We first prove, by using the technic of monotone operators in Banach spaces, the existence of weak solutions, and by app...

Download PDF file
  • EP ID EP472636
  • DOI 10.7151/dmdico.1176
  • Views 123
  • Downloads 0

How To Cite

Pilar Cembranos, José Mendoza (2016). On the mutually non isomorphic lp(lq) spaces, a survey. Discussiones Mathematicae Differential Inclusions Control and Optimization, 36(1), 117-126. https://europub.co.uk/articles/-A-472636