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Ales Nekvinda

Publications and source records attributed to Ales Nekvinda.

2 recordsLinked to original sources
arXiv2023

Embeddings between sequence variable Lebesgue spaces, strict and finitely strict singularity

In this paper, we provide necessary and sufficient conditions under which two sequence variable Lebesgue spaces $\ell_{p_n}$ and $\ell_{q_n}$ are equivalent and also describe conditions under which the natural embeddings $id:\ell_{p_n} \to \ell_{q_n}$ are strictly or finitely strictly singular. We also provide estimates for the Bernstein numbers of the natural embedding $id$ and show how they depend on the exponents $p_n$ and $q_n$.

math.FA↗
arXiv2022

Embeddings between Lorenz sequence spaces are strictly singular

Given $0<p,q, r<\infty $ and $ q<r\le \infty$ we consider the natural embedding $\ell_{p,q}\hookrightarrow \ell_{p,r}$ between Lorenz sequence spaces. We prove that this non-compact embedding is always strictly singular but not finitely strictly singular.

math.FA↗