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COMPLEX INTERPOLATION OF ORLICZ SEQUENCE SPACES AND ITS HIGHER ORDER ROCHBERG SPACES

Author(s):
Correa, Willian H. G.
Total Authors: 1
Document type: Journal article
Source: HOUSTON JOURNAL OF MATHEMATICS; v. 48, n. 1, p. 14-pg., 2022-01-01.
Abstract

We show that if (l(f0) , P-f1 ) is a couple of suitable Orlicz sequence spaces then the corresponding Rochberg derived spaces of all orders associated to the complex interpolation method are Fenchel-Orlicz spaces. In particular, the induced twisted sums have the (C[0, 1], C)-extension prop-erty. (AU)

FAPESP's process: 18/03765-1 - Twisted Hilbert and complexity in Banach spaces
Grantee:Willian Hans Goes Corrêa
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 16/25574-8 - Geometry of Banach Spaces
Grantee:Valentin Raphael Henri Ferenczi
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 19/09205-0 - Applications of Functional Analysis to Quantum Information Theory
Grantee:Willian Hans Goes Corrêa
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor