Isomorphisms of Cartesian Products of ℓ-Power Series Spaces

• Autorzy: E. Karapınar , M. Yurdakul , V. Zahariuta
• Języki publikacji: 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.

Kategorie tematyczne

• 46A45: Sequence spaces (including K\"othe sequence spaces)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2006
• Tom: 54
• Numer: 2
• Strony: 103-111

Daty

wydano

2006

Twórcy

autor

E. Karapınar

• Izmir University of Economics, Izmir, Turkey

autor

M. Yurdakul

• Department of Mathematics, Middle East Technical University, 06531, Ankara, Turkey

autor

V. Zahariuta

• FENS, Sabancı University, Istanbul, Turkey

Identyfikatory

DOI

10.4064/ba54-2-2