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1 Bulletin of the Polish Academy of Sciences. Mathematics

1 2006

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Isomorphisms of Cartesian products of l-power series spaces

Karapinar E., Yurdakul M., Zahariuta V.

Bulletin of the Polish Academy of Sciences. Mathematics

2006

Vol. 54, no 2

103-111

Let l be a Banach sequence space with a monotone norm [...], in which the canonical system (ei) is a normalized symmetric basis. We give a complete isomorphic classification of Cartesian products E[...](a) x E[...][b) where E[...](a) = K[...] and oE[...](b) = K[...) are finite and infinite l-power series spaces, respectively. This classification is the generalization of the results by Chalov et al. [Studia Math. 137 (1999)] and Djakov et al. [Michigan Math. J. 43 (1996)] by using the method of compound linear topological invariants developed by the third author.