Strictly singular operators and isomorphisms of Cartesian products of power series spaces
Djakov, Plamen Borissov and Önal, S. and Terzioğlu, Tosun and Yurdakul, M. (1998) Strictly singular operators and isomorphisms of Cartesian products of power series spaces. Archiv der mathematik, 70 (1). pp. 57-65. ISSN 0003-889X (Print) 1420-8938 (Online)
Official URL: http://dx.doi.org/10.1007/s000130050165
V. P. Zahariuta, in 1973, used the theory of Fredholm operators to develop a method to classify Cartesian products of locally convex spaces. In this work we modify his method to study the isomorphic classification of Cartesian products of the kind E0p(a)×E¥ q(b) where 1 £ p,q £ ¥, p ¹ q, a = (an)n=1¥ and b = (bn)n=1¥ are sequences of positive numbers and E0p(a), E¥ q (b) are respectively lp-finite and lq-infinite type power series spaces.
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