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- Title
Strictly singular operators and isomorphisms of Cartesian products of power series spaces.
- Authors
Djakov, Plamen Borissov; Önal, Süleyman; Yurdakul, Murat; Terzioğlu, Tosun
- 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 $ E_0^p(a)\times E_\infty ^q(b) $ where $1 \leq p,q \le \infty, p \neq q, a = (a_n)_{n=1}^\infty $ and $ b = (b_n)_{n=1}^\infty $ are sequences of positive numbers and $ E_0^p(a), E_\infty ^q (b) $ are respectively $ \ell ^p $ -finite and $ \ell ^q $ -infinite type power series spaces.
- Publication
Archiv der Mathematik, 1998, Vol 70, Issue 1, p57
- ISSN
0003-889X
- Publication type
Article
- DOI
10.1007/s000130050165