Twisted sums, Fenchel-Orlicz spaces and property (M)
George Androulakis, C. D. Cazacu, Nigel J. Kalton
Abstract
We study certain twisted sums of Orlicz spaces with non-trivial type which can be viewed as Fenchel-Orlicz spaces on R2. We then show that a large class of Fenchel-Orlicz spaces on Rn can be renormed to have property (M). In particular this gives a new construction of the twisted Hilbert space Z2 and shows it has property (M), after an appropriate renorming.
Create a lesson
Related papers
Independent Backward Preimages and Algebraic Radial Decompositions of Operators
Zakariae Aznay, Fadil Chabbabi, Hassan Zariouh
Spectral and mapping properties of the inverse Ornstein--Uhlenbeck operator
Tommaso Bruno, Valentina Casarino, Paolo Ciatti et al.
Dual Banach spaces with AP but without BAP
Longfa Sun, Zhenguo Wei, Zhendong Xu et al.
Real alternative Daugavet property without Daugavet property in a separable complex Banach space
Jinghao Huang, Ran Xu
Nonisomorphic separable Banach spaces at Lipschitz distance one
Ryotaro Tanaka
Szegő quasiforms: a Schottky-scheme construction for vertex operator superalgebras
A. Zuevsky