Strictly singular operators and isomorphisms of Cartesian products of power series spaces
ARCHIV DER MATHEMATIK, vol.70, no.1, pp.57-65, 1998 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 70 Issue: 1
- Publication Date: 1998
- Doi Number: 10.1007/s000130050165
- Journal Name: ARCHIV DER MATHEMATIK
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.57-65
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: Yes
Abstract
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 E-0(p)(a) x E-infinity(q) (b) where 1 less than or equal to p, q < infinity, p not equal q, a = (a(n))(n=1)(infinity) and b = (b(n))(n=1)(infinity) are sequences of positive numbers and E-0(p)(a), E(infinity)q(b) are respectively l(p)-finite and l(q)-infinite type power series spaces.