Open Access
October 2017 On the composition ideals of Lipschitz mappings
Khalil Saadi
Banach J. Math. Anal. 11(4): 825-840 (October 2017). DOI: 10.1215/17358787-2017-0019


We study some properties of Lipschitz mappings which admit factorization through an operator ideal. Lipschitz cross norms have been established from known tensor norms in order to represent certain classes of Lipschitz mappings. Inspired by the definition of p-summing linear operators, we derive a new class of Lipschitz mappings that is called strictly Lipschitz p-summing.


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Khalil Saadi. "On the composition ideals of Lipschitz mappings." Banach J. Math. Anal. 11 (4) 825 - 840, October 2017.


Received: 21 June 2016; Accepted: 18 November 2016; Published: October 2017
First available in Project Euclid: 17 August 2017

zbMATH: 06841256
MathSciNet: MR3708531
Digital Object Identifier: 10.1215/17358787-2017-0019

Primary: 47B10
Secondary: 26A16 , 46B28 , 46M05 , 47L20

Keywords: (strictly) Lipschitz summing operators , factorization of Lipschitz mappings , Lipschitz operator ideals , Lipschitz tensor product

Rights: Copyright © 2017 Tusi Mathematical Research Group

Vol.11 • No. 4 • October 2017
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