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The existence of a factorized unbounded operator between Frechet spaces
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Date
2020-02-01
Author
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
Collections
Department of Mathematics, Article
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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.