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Some consequences of the existence of an unbounded operator between Frechet Spaces.
Date
1984
Author
Yurdakul, Murat H
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Subject Keywords
Frechet spaces.
,
Locally convex spaces.
URI
https://hdl.handle.net/11511/11569
Collections
Graduate School of Natural and Applied Sciences, Thesis
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In this note, we obtain that all separable Frechet-Hilbert spaces have the property of smallness up to a complemented Banach subspace (SCBS). Djakov, Terzioglu, Yurdakul, and Zahariuta proved that a bounded perturbation of an automorphism on Frechet spaces with the SCBS property is stable up to a complemented Banach subspace. Considering Frechet-Hilbert spaces we show that the bounded perturbation of an automorphism on a separable Frechet-Hilbert space still takes place up to a complemented Hilbert subspace...
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In 1973, V. P. Zahariuta formed a method to classify the Cartesian products of locally convex spaces by using the theory of Fredholm operators. In this thesis, we gave modifications done in the method of Zahariuta. Then by using them, we studied the isomorphic classifications of Cartesian products of l^p and l^q type Köthe sequence spaces.
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M. H. Yurdakul, “Some consequences of the existence of an unbounded operator between Frechet Spaces.,” Ph.D. - Doctoral Program, Middle East Technical University, 1984.