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Strictly singular operators and isomorphisms of Cartesian products of power series spaces
被引：0
作者：
Plamen Borissov Djakov
Süleyman Önal
Murat Yurdakul
Tosun Terzioğlu
机构：
[1] Department of Mathematics,
[2] Sofia University,undefined
[3] BG-1164 Sofia,undefined
[4] Bulgaria,undefined
[5] Department of Mathematics,undefined
[6] Middle East Technical University,undefined
[7] TR-06531 Ankara,undefined
[8] Turkey,undefined
[9] Sabanci University,undefined
[10] TR-Istanbul,undefined
[11] Turkey,undefined
来源：
Archiv der Mathematik
|
1998年
/
70卷
关键词：
Power Series;
Fredholm Operator;
Type Power;
Singular Operator;
Series Space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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 \documentclass[12pt]{minimal}
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$ E_0^p(a)\times E_\infty ^q(b) $\end{document} where \documentclass[12pt]{minimal}
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$1 \leq p,q \le \infty, p \neq q, a = (a_n)_{n=1}^\infty $\end{document} and \documentclass[12pt]{minimal}
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$ b = (b_n)_{n=1}^\infty $\end{document} are sequences of positive numbers and \documentclass[12pt]{minimal}
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$ E_0^p(a), E_\infty ^q (b) $\end{document} are respectively \documentclass[12pt]{minimal}
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$ \ell ^p $\end{document}-finite and \documentclass[12pt]{minimal}
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$ \ell ^q $\end{document}-infinite type power series spaces.
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页码：57 / 65
页数：8
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