English

Derivation of vector-valued complex interpolation scales

Functional Analysis 2018-08-10 v1

Abstract

We study complex interpolation scales obtained by vector valued amalgamation and the derivations they generate. We study their trivial and singular character and obtain examples showing that the hypotheses in the main theorems of [J.M.F. Castillo, V. Ferenczi and M. Gonz\'alez, \emph{Singular exact sequences generated by complex interpolation}, Trans. Amer. Math. Soc. 369 (2017) 4671--4708] are not necessary.

Keywords

Cite

@article{arxiv.1808.03154,
  title  = {Derivation of vector-valued complex interpolation scales},
  author = {Jesús M. F. Castillo and Daniel Morales and Jesús Suárez de la Fuente},
  journal= {arXiv preprint arXiv:1808.03154},
  year   = {2018}
}

Comments

to appear in Journal of Mathematical Analysis and Applications

R2 v1 2026-06-23T03:28:53.160Z