On Dragilev type power Köthe spaces

P. B. Djakov; V. Zahariuta

ArticleOriginal scientific text

Title

On Dragilev type power Köthe spaces

Authors ¹, ^2,³

Affiliations

Department of Mathematics, Sofia University, 1164 Sofia, Bulgaria
Department of Mechanics and Mathematics, Rostov State University, Rostov-na-Donu, Russia
Department of Mathematics, Marmara Research Center, Gebze, Kocaeli, Turkey

Abstract

A complete isomorphic classification is obtained for Köthe spaces

X = K (\exp [χ (p - κ (i)) - \frac{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} \to \infty

. Any of these spaces has the quasi-equivalence property.

Keywords

ENG

isomorphic classification, Köthe spaces

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Title

On Dragilev type power Köthe spaces

Affiliations

Abstract

Keywords

Bibliography