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Abstract:

We establish a relation between Lipschitz operator ideals and linear operator ideals, which fits in the framework of Galois connection between lattices. We use this relationship to give a criterion which allows us to recognize when a Banach Lipschitz operator ideal is of composition type or not. Also, we introduce the concept of minimal Banach Lipschitz operator ideal, which have analogous properties to minimal Banach operator ideals. We characterize minimal Banach Lipschitz operator ideals which are of composition type and present examples which are not of this class. © 2018 Elsevier Inc.

Registro:

Documento: Artículo
Título:Galois connection between Lipschitz and linear operator ideals and minimal Lipschitz operator ideals
Autor:Turco, P.; Villafañe, R.
Filiación:IMAS – UBA – CONICET – Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
Departamento de Matemática – Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
Palabras clave:Banach operator ideals; Galois connection; Lipschitz operator ideals; Minimal operator ideals
Año:2018
DOI: http://dx.doi.org/10.1016/j.jfa.2018.12.007
Título revista:Journal of Functional Analysis
Título revista abreviado:J. Funct. Anal.
ISSN:00221236
CODEN:JFUAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221236_v_n_p_Turco

Referencias:

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Citas:

---------- APA ----------
Turco, P. & Villafañe, R. (2018) . Galois connection between Lipschitz and linear operator ideals and minimal Lipschitz operator ideals. Journal of Functional Analysis.
http://dx.doi.org/10.1016/j.jfa.2018.12.007
---------- CHICAGO ----------
Turco, P., Villafañe, R. "Galois connection between Lipschitz and linear operator ideals and minimal Lipschitz operator ideals" . Journal of Functional Analysis (2018).
http://dx.doi.org/10.1016/j.jfa.2018.12.007
---------- MLA ----------
Turco, P., Villafañe, R. "Galois connection between Lipschitz and linear operator ideals and minimal Lipschitz operator ideals" . Journal of Functional Analysis, 2018.
http://dx.doi.org/10.1016/j.jfa.2018.12.007
---------- VANCOUVER ----------
Turco, P., Villafañe, R. Galois connection between Lipschitz and linear operator ideals and minimal Lipschitz operator ideals. J. Funct. Anal. 2018.
http://dx.doi.org/10.1016/j.jfa.2018.12.007