Boundary integral representation of multipliers of fragmented affine functions and other intermediate function spaces
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10509882" target="_blank" >RIV/00216208:11320/25:10509882 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=J47FOYy5Uw" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=J47FOYy5Uw</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s12215-025-01249-x" target="_blank" >10.1007/s12215-025-01249-x</a>
Alternative languages
Result language
angličtina
Original language name
Boundary integral representation of multipliers of fragmented affine functions and other intermediate function spaces
Original language description
We develop a theory of abstract intermediate function spaces on a compact convex set X and study the behaviour of multipliers and centers of these spaces. In particular, we provide some criteria for coincidence of the center with the space of multipliers and a general theorem on boundary integral representation of multipliers. We apply the general theory in several concrete cases, among others to strongly affine Baire functions, to the space Af(X)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$A_f(X)$$end{document} of fragmented affine functions, to the space (Af(X))mudocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$(A_f(X))<^>mu $$end{document}, the monotone sequential closure of Af(X)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$A_f(X)$$end{document}, to their natural subspaces formed by Borel functions, or, in some special cases, to the space of all strongly affine functions. In addition, we prove that the space (Af(X))mudocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$(A_f(X))<^>mu $$end{document} is determined by extreme points and provide a large number of illustrating examples and counterexamples.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA23-04776S" target="_blank" >GA23-04776S: Interplay of algebraic, metric, geometric and topological structures on Banach spaces</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Rendiconti del Circolo Matematico di Palermo
ISSN
0009-725X
e-ISSN
1973-4409
Volume of the periodical
74
Issue of the periodical within the volume
4
Country of publishing house
IT - ITALY
Number of pages
131
Pages from-to
131
UT code for WoS article
001499235100001
EID of the result in the Scopus database
2-s2.0-105006892781