Strictly singular operators and isomorphisms of Cartesian products of power series spaces

Djakov, Plamen Borissov and Önal, S. and Terzioğlu, Tosun and Yurdakul, M. (1998) Strictly singular operators and isomorphisms of Cartesian products of power series spaces. Archiv der mathematik, 70 (1). pp. 57-65. ISSN 0003-889X (Print) 1420-8938 (Online)

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Abstract

V. P. Zahariuta, in 1973, used the theory of Fredholm operators to develop a method to classify Cartesian products of locally convex spaces. In this work we modify his method to study the isomorphic classification of Cartesian products of the kind E0p(a)×E¥ q(b) where 1 £ p,q £ ¥, p ¹ q, a = (an)n=1¥ and b = (bn)n=1¥ are sequences of positive numbers and E0p(a), E¥ q (b) are respectively lp-finite and lq-infinite type power series spaces.
Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Depositing User: Tosun Terzioğlu
Date Deposited: 14 Apr 2009 16:19
Last Modified: 22 Jul 2019 15:36
URI: https://research.sabanciuniv.edu/id/eprint/11449

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