Asymptotically symmetric spaces with hereditarily non-unique spreading models

Denka Kutzarova; Pavlos Motakis

doi:10.1090/proc/14855

Asymptotically symmetric spaces with hereditarily non-unique spreading models

Denka Kutzarova
, Pavlos Motakis

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We examine a variant of a Banach space X¹ _0,1 defined by Argyros, Beanland, and the second-named author that has the property that it admits precisely two spreading models in every infinite dimensional subspace. We prove that this space is asymptotically symmetric and thus it provides a negative answer to a problem of Junge, the first-named author, and Odell.

Original language	English (US)
Pages (from-to)	1697-1707
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	148
Issue number	4
DOIs	https://doi.org/10.1090/proc/14855
State	Published - 2020

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General Mathematics
Applied Mathematics

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title = "Asymptotically symmetric spaces with hereditarily non-unique spreading models",

abstract = "We examine a variant of a Banach space X1 0,1 defined by Argyros, Beanland, and the second-named author that has the property that it admits precisely two spreading models in every infinite dimensional subspace. We prove that this space is asymptotically symmetric and thus it provides a negative answer to a problem of Junge, the first-named author, and Odell.",

author = "Denka Kutzarova and Pavlos Motakis",

note = "Received by the editors February 26, 2019, and, in revised form, September 7, 2019. 2010 Mathematics Subject Classification. Primary 46B03, 46B06, 46B25, 46B45. Research of the first author was supported by Simons Foundation Collaborative Grant No 636954. The second author was supported by the National Science Foundation under Grant Numbers DMS-1600600 and DMS-1912897.",

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AU - Motakis, Pavlos

N1 - Received by the editors February 26, 2019, and, in revised form, September 7, 2019. 2010 Mathematics Subject Classification. Primary 46B03, 46B06, 46B25, 46B45. Research of the first author was supported by Simons Foundation Collaborative Grant No 636954. The second author was supported by the National Science Foundation under Grant Numbers DMS-1600600 and DMS-1912897.

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N2 - We examine a variant of a Banach space X1 0,1 defined by Argyros, Beanland, and the second-named author that has the property that it admits precisely two spreading models in every infinite dimensional subspace. We prove that this space is asymptotically symmetric and thus it provides a negative answer to a problem of Junge, the first-named author, and Odell.

AB - We examine a variant of a Banach space X1 0,1 defined by Argyros, Beanland, and the second-named author that has the property that it admits precisely two spreading models in every infinite dimensional subspace. We prove that this space is asymptotically symmetric and thus it provides a negative answer to a problem of Junge, the first-named author, and Odell.

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JF - Proceedings of the American Mathematical Society

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Asymptotically symmetric spaces with hereditarily non-unique spreading models

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