The existence of a factorized unbounded operator between Fréchet spaces

DOI10.1142/S1793557120500175zbMath1451.46002arXiv1605.06251OpenAlexW3101542790MaRDI QIDQ5213023

Ersin Kizgut, M. Yurdakul

Publication date: 31 January 2020

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.06251

zbMATH Keywords

Fréchet spacesunbounded operatorsKöthe spacesbounded factorization property

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items (1)

Dual Fréchet algebras: Connes amenability and (σwc)-virtual diagonals

Cites Work

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• Consequences of the existence of a non-compact operator between nuclear Köthe spaces
• Restrictions of unbounded continuous linear operators on Fréchet spaces
• Unbounded linear operators and nuclear Köthe quotients
• A remark on a paper of J. Prada
• Bounded and unbounded operators between Köthe spaces
• Factorization of unbounded operators on Köthe spaces

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