Strictly regular echelon Köthe spaces
type: Item
instance of: scholarly article
title: Strictly regular echelon Köthe spaces
zbMATH Open document ID: 0573.46011
DOI: 10.1007/BF01200467
author: B. George
published in: Archiv der Mathematik
publication date: 1986-01-01T00:00:00Z
review text: We give a slighty more concrete definition of a strictly regular Fréchet space that was introduced by \textit{D. N. Zarnadze} [Math. Notes 31, 454-458 (1982; Zbl 0562.46001)], and we prove that a strictly regular echelon Köthe space \(\Lambda^ p(X,\beta,\mu,g_ k)\) must be isomorphic to a countable product of \(L^ p(d\upsilon)\)-spaces, - i.e., must be trivial -. A pseudo-converse of this implication has been proved also.
Mathematics Subject Classification ID: 46A45
Mathematics Subject Classification ID: 46A04
zbMATH DE Number: 3914972
zbMATH Keywords: strictly regular Fréchet space
zbMATH Keywords: strictly regular echelon Köthe space
zbMATH Keywords: countable product of \(L^ p(d\nu )\)-spaces
MaRDI profile type: Publication
cites work: A note on strictly regular Fréchet spaces
cites work: The dual and bidual of an echelon Köthe space
description: scientific article; zbMATH DE number 3914972