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(LF) - Spaces and Tensor Products

✍ Scribed by Elisabetta M. Mangino

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
655 KB
Volume
185
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

For a countable inductive limit of metrizable locally convex spaces, a condition (M) (in the sense of Retakh) by operators is introduced and the incidence of this property for the inter‐chageability of (LF)‐spaces and tensor products with a Banach space is discussed. Examples are given in the setting of weighted (LF)‐spaces of continuoua functions, Köthe (LF)‐sequence spaces, weighted (LB)‐spaces of holomorphic functiom on balanced domains.

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