The existence of a factorized unbounded operator between Frechet spaces

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2020-02-01

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Kizgut, Ersin
Yurdakul, Murat

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For locally convex spaces E and F, the continuous linear map T : E -> F is called bounded if there is a zero neighborhood U of E such that T(U) is bounded in F. Our main result is that the existence of an unbounded operator T between Frechet spaces E and F which factors through a third Frechet space G ends up with the fact that the triple (E, G, F) has an infinite dimensional closed common nuclear Kothe subspace, provided that F has the property (y).

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/64661

Journal

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS

DOI

https://doi.org/10.1142/s1793557120500175

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Department of Mathematics, Article

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Citation Formats

E. Kizgut and M. Yurdakul, “The existence of a factorized unbounded operator between Frechet spaces,” ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, pp. 0–0, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64661.