Daugavet property in tensor product spaces

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URI: http://hdl.handle.net/10481/70396
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Autor
Rueda Zoca, Abraham; Tradacete, Pedro; Villanueva, Ignacio
Editorial
Cambridge University Press
Materia
Daugavet property
 
Tensor product spaces
 
Octahedral norms
 
Fecha
2019-03-05
Referencia bibliográfica
Published version: Rueda Zoca, A., Tradacete, P., & Villanueva, I. (2021). DAUGAVET PROPERTY IN TENSOR PRODUCT SPACES. Journal of the Institute of Mathematics of Jussieu, 20(4), 1409-1428. doi:[10.1017/S147474801900063X]
Patrocinador
MECD (Spain) FPU2016/00015; Spanish Government PGC2018-093794-B-I00; Junta de Andalucia A-FQM-484-UGR18 FQM-0185; MINECO (Spain) MTM2016-76808-P MTM2016-75196-P MTM2017-88385-P; Severo Ochoa Programme for Centres of Excellence in RD SEV-2015-0554; QUITEMAD+-CM S2013/ICE-2801
Resumen
We study the Daugavet property in tensor products of Banach spaces. We show that L1(μ)b "L1(ν) has the Daugavet property when μ and ν are purely non-atomic measures. Also, we show that Xb Y has the Daugavet property provided X and Y are L1-preduals with the Daugavet property, in particular spaces of continuous functions with this property. With the same tecniques, we also obtain consequences about roughness in projective tensor products as well as the Daugavet property of projective symmetric tensor products.
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