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Strictly singular operators and isomorphisms of Cartesian products of power series spaces
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Date
1998-01-02
Author
Djakov, PB
Onal, S
Terzioglu, T
Yurdakul, Murat Hayrettin
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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.
Subject Keywords
Mathematics
URI
https://hdl.handle.net/11511/31490
Journal
ARCHIV DER MATHEMATIK
DOI
https://doi.org/10.1007/s000130050165
Collections
Graduate School of Natural and Applied Sciences, Article
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P. Djakov, S. Onal, T. Terzioglu, and M. H. Yurdakul, “Strictly singular operators and isomorphisms of Cartesian products of power series spaces,”
ARCHIV DER MATHEMATIK
, pp. 57–65, 1998, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/31490.