(m,q)-isimetries on metric spaces

0439662 - MÚ 2015 RIV RO eng J - Článek v odborném periodiku
Bermúdez, T. - Martinón, A. - Müller, Vladimír
(m,q)-isimetries on metric spaces.
Journal of Operator Theory. Roč. 72, č. 2 (2014), s. 313-329. ISSN 0379-4024. E-ISSN 1841-7744
Grant CEP: GA AV ČR IAA100190903
Institucionální podpora: RVO:67985840
Klíčová slova: m-isometry * Mazur-ulam theorem * metric space
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.550, rok: 2014
http://www.mathjournals.org/jot/2014-072-002/2014-072-002-002.html

We show that there exist a linear m-isometry on a Hilbert space which is not continuous, and a continuous m-isometry on a Hilbert space which is not affine. Further we define (m, q)-isometries on metric spaces and prove their basic properties.
Trvalý link: http://hdl.handle.net/11104/0242917