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Analysis of institutional authors

Arnau, RogerAuthorCalabuig, Jose MAuthorSanchez-Perez, Enrique ACorresponding Author

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July 13, 2025
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Lattice Lipschitz operators on C(K)- spaces

Publicated to: Annals of Functional Analysis. 16 (3): 32- - 2025-07-01 16(3), DOI: 10.1007/s43034-025-00426-4

Authors:

Arnau, R; Calabuig, JM; Sánchez-Pérez, EA
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Affiliations

Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Camino Vera S-N, Valencia 46022, Spain - Author

Abstract

Given a Banach lattice L, the space of lattice Lipschitz operators on L has been introduced as a natural Lipschitz generalization of the linear notions of diagonal operator and multiplication operator on Banach function lattices. It is a particular space of superposition operators on Banach lattices. Motivated by certain procedures in Reinforcement Learning based on McShane-Whitney extensions of Lipschitz maps, this class has proven to be useful also in the classical context of Mathematical Analysis. In this paper, we discuss the properties of such operators when defined on spaces of continuous functions, focusing attention on the functional bounds for the pointwise Lipschitz inequalities defining the lattice Lipschitz operators, the representation theorems for these operators as vector-valued functions, and the corresponding dual spaces. Finally, and with possible applications in Artificial Intelligence in mind, we provide a McShane-Whitney extension theorem for these operators.
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Keywords

Banach latticC(k)Continuous functionLattice lipschitzLipschitz functionNon-linear operator

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Annals of Functional Analysis due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2025, it was in position 130/492, thus managing to position itself as a Q2 (Segundo Cuartil), in the category Mathematics. Notably, the journal is positioned en el Cuartil Q2 para la agencia Scopus (SJR) en la categoría Control and Optimization.

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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-03:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 1 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
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Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (Arnau Notari, Andres Roger) and Last Author (Sánchez Pérez, Enrique Alfonso).

the author responsible for correspondence tasks has been Sánchez Pérez, Enrique Alfonso.

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Awards linked to the item

This article is funded by Universitat Politecnica de Valencia (PAID-01-21), Ministerio de Ciencia e Innovacion (PID2022-138342NB-I00).
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