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• # Artykuł - szczegóły

## Bulletin of the Polish Academy of Sciences. Mathematics

2006 | 54 | 2 | 103-111

## Isomorphisms of Cartesian Products of ℓ-Power Series Spaces

EN

### Abstrakty

EN
Let ℓ be a Banach sequence space with a monotone norm $∥·∥_{ℓ}$, in which the canonical system $(e_i)$ is a normalized symmetric basis. We give a complete isomorphic classification of Cartesian products $E^{ℓ}_{0}(a) × E^{ℓ}_{∞}(b)$ where $E^{ℓ}_{0}(a) = K^{ℓ}(exp(-p^{-1}a_i))$ and $E^{ℓ}_{∞}(b) = K^{ℓ}(exp(pa_i))$ 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.

103-111

wydano
2006

### Twórcy

autor
• Izmir University of Economics, Izmir, Turkey
autor
• Department of Mathematics, Middle East Technical University, 06531, Ankara, Turkey
autor
• FENS, Sabancı University, Istanbul, Turkey