Strictly singular operators and isomorphisms of Cartesian products of power series spaces

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1998-01-02

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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

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Graduate School of Natural and Applied Sciences, Article

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Citation Formats

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.