Authors:
S. Romaguera Universidad Politécnica de Valencia E.T.S. Ingenieros de Caminos, Departamento de Matemática Aplicada, IUMPA-UPV 46071 Valencia Spain

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J. Sánchez-Álvarez Universidad Politécnica de Valencia E.T.S. Ingenieros de Caminos, Departamento de Matemática Aplicada, IUMPA-UPV 46071 Valencia Spain

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M. Sanchis Universidad Jaume I Departamento de Matemáticas Campus de Riu Sec 12071 Castellón Spain

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Abstract  

Let (X, d) be a quasi-metric space and (Y, q) be a quasi-normed linear space. We show that the normed cone of semi-Lipschitz functions from (X, d) to (Y, q) that vanish at a point x0X, is balanced. Moreover, it is complete in the sense of D. Doitchinov whenever (Y, q) is a biBanach space.

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation
1950
Volumes
per Year
3
Issues
per Year
6
Founder Magyar Tudományos Akadémia  
Founder's
Address
H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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