Isomorphisms of Cartesian Products of ℓ-Power Series Spaces

E. Karapınar, M. Yurdakul, and V. Zahariuta. "Isomorphisms of Cartesian Products of ℓ-Power Series Spaces." Bulletin of the Polish Academy of Sciences. Mathematics 54.2 (2006): 103-111. <http://eudml.org/doc/280915>.

@article{E2006,
abstract = {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.},
author = {E. Karapınar, M. Yurdakul, V. Zahariuta},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Cartesian products; -power series spaces; compound linear topological invariants},
language = {eng},
number = {2},
pages = {103-111},
title = {Isomorphisms of Cartesian Products of ℓ-Power Series Spaces},
url = {http://eudml.org/doc/280915},
volume = {54},
year = {2006},
}

TY - JOUR
AU - E. Karapınar
AU - M. Yurdakul
AU - V. Zahariuta
TI - Isomorphisms of Cartesian Products of ℓ-Power Series Spaces
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2006
VL - 54
IS - 2
SP - 103
EP - 111
AB - 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.
LA - eng
KW - Cartesian products; -power series spaces; compound linear topological invariants
UR - http://eudml.org/doc/280915
ER -