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  • FBLp_revised_sep2021_v2

    Rights statement: The final publication is available at Springer via https://doi.org/10.1007/s13398-021-01155-8

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Free Banach lattices under convexity conditions

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Free Banach lattices under convexity conditions. / Jardon-Sanchez, Hector; Laustsen, Niels; Taylor, Mitchell A. et al.
In: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, Vol. 116, No. 15, 15, 11.10.2021.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Jardon-Sanchez, H, Laustsen, N, Taylor, MA, Tradacete, P & Troitsky, V 2021, 'Free Banach lattices under convexity conditions', Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, vol. 116, no. 15, 15. https://doi.org/10.1007/s13398-021-01155-8

APA

Jardon-Sanchez, H., Laustsen, N., Taylor, M. A., Tradacete, P., & Troitsky, V. (2021). Free Banach lattices under convexity conditions. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 116(15), Article 15. https://doi.org/10.1007/s13398-021-01155-8

Vancouver

Jardon-Sanchez H, Laustsen N, Taylor MA, Tradacete P, Troitsky V. Free Banach lattices under convexity conditions. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 2021 Oct 11;116(15):15. doi: 10.1007/s13398-021-01155-8

Author

Jardon-Sanchez, Hector ; Laustsen, Niels ; Taylor, Mitchell A. et al. / Free Banach lattices under convexity conditions. In: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 2021 ; Vol. 116, No. 15.

Bibtex

@article{2b554415c33b46969453a3801d37f90d,
title = "Free Banach lattices under convexity conditions",
abstract = "We prove the existence of free objects in certain subcategories of Banach lattices, including p-convex Banach lattices, Banach lattices with upper p-estimates, and AM-spaces. From this we immediately deduce that projectively universal objects exist in each of these subcategories, extending results of Leung, Li, Oikhberg, and Tursi (Israel J. Math. 2019). In the p-convex and AM-space cases, we are able to explicitly identify the norms of the free Banach lattices, and we conclude by investigating the structure of these norms in connection with nonlinear p-summing maps.",
keywords = "Free Banach lattice, p-convex Banach lattice, AM-space, p-summing map",
author = "Hector Jardon-Sanchez and Niels Laustsen and Taylor, {Mitchell A.} and Pedro Tradacete and Vladimir Troitsky",
note = "The final publication is available at Springer via https://doi.org/10.1007/s13398-021-01155-8",
year = "2021",
month = oct,
day = "11",
doi = "10.1007/s13398-021-01155-8",
language = "English",
volume = "116",
journal = "Revista de la Real Academia de Ciencias Exactas, F{\'i}sicas y Naturales. Serie A. Matem{\'a}ticas",
publisher = "Springer",
number = "15",

}

RIS

TY - JOUR

T1 - Free Banach lattices under convexity conditions

AU - Jardon-Sanchez, Hector

AU - Laustsen, Niels

AU - Taylor, Mitchell A.

AU - Tradacete, Pedro

AU - Troitsky, Vladimir

N1 - The final publication is available at Springer via https://doi.org/10.1007/s13398-021-01155-8

PY - 2021/10/11

Y1 - 2021/10/11

N2 - We prove the existence of free objects in certain subcategories of Banach lattices, including p-convex Banach lattices, Banach lattices with upper p-estimates, and AM-spaces. From this we immediately deduce that projectively universal objects exist in each of these subcategories, extending results of Leung, Li, Oikhberg, and Tursi (Israel J. Math. 2019). In the p-convex and AM-space cases, we are able to explicitly identify the norms of the free Banach lattices, and we conclude by investigating the structure of these norms in connection with nonlinear p-summing maps.

AB - We prove the existence of free objects in certain subcategories of Banach lattices, including p-convex Banach lattices, Banach lattices with upper p-estimates, and AM-spaces. From this we immediately deduce that projectively universal objects exist in each of these subcategories, extending results of Leung, Li, Oikhberg, and Tursi (Israel J. Math. 2019). In the p-convex and AM-space cases, we are able to explicitly identify the norms of the free Banach lattices, and we conclude by investigating the structure of these norms in connection with nonlinear p-summing maps.

KW - Free Banach lattice

KW - p-convex Banach lattice

KW - AM-space

KW - p-summing map

U2 - 10.1007/s13398-021-01155-8

DO - 10.1007/s13398-021-01155-8

M3 - Journal article

VL - 116

JO - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

JF - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

IS - 15

M1 - 15

ER -