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Isomorphisms of Cartesian Products of ℓ-Power Series Spaces

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Karapınar E., Yurdakul M., Zahariuta V.

Bulletin of the Polish Academy of Sciences. Mathematics

2006

tom 54

nr 2

103-111

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.

Ograniczanie wyników

1 Bulletin of the Polish Academy of Sciences. Mathematics

1 Karapınar E.

1 Yurdakul M.

1 Zahariuta V.

1 2006

Wyniki wyszukiwania

Isomorphisms of Cartesian Products of ℓ-Power Series Spaces