caa a22 4500 388092505 CHVBK 20180307125255.0 cr unu---uuuuu 161130e199904 xx s 000 0 eng 10.1017/S0004972700032949 doi S0004972700032949 pii (NATIONALLICENCE)cambridge-10.1017/S0004972700032949 Araujo Jesuś Departamento de Matemáticas, Estadística y Computación, Universidad de Cantabria, Facultad de Ciencias, 39071 Santander, Spain e-mail: araujo@matesco.unican.es Linear isometries between spaces of functions of bounded variation [Elektronische Daten] [Jesuś Araujo] Given two subsets X and Y of each with at least two points, we describe the surjective linear isometries between the spaces of functions of bounded variation BV(X) and BV(Y): namely, if T : BV(X) → BV(Y) is such an isometry, then there exist α , |α| = 1, and a monotonic bijective map h : Y → X such that (Tf)(y) = αf(h(y)) for every f BV(X) and every y Y. Copyright © Australian Mathematical Society 1999 Bulletin of the Australian Mathematical Society Cambridge University Press 59/2(1999-04), 335-341 0004-9727 59:2<335 1999 59 BAZ https://doi.org/10.1017/S0004972700032949 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0004972700032949 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Araujo Jesuś Departamento de Matemáticas, Estadística y Computación, Universidad de Cantabria, Facultad de Ciencias, 39071 Santander, Spain e-mail: araujo@matesco.unican.es NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 59/2(1999-04), 335-341 0004-9727 59:2<335 1999 59 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge