Superstability of the Cauchy equation with squares in finite-dimensional normed algebras
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 605508305 | ||
| 003 | CHVBK | ||
| 005 | 20210128100636.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150601xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00010-014-0267-5 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-014-0267-5 | ||
| 100 | 1 | |a Batko |D Bogdan |u Institute of Mathematics, Pedagogical University of Cracow, Podchora̧żych 2, 30-084, Kraków, Poland |4 aut | |
| 245 | 1 | 0 | |a Superstability of the Cauchy equation with squares in finite-dimensional normed algebras |h [Elektronische Daten] |c [Bogdan Batko] |
| 520 | 3 | |a Our purpose is to provide an affirmative answer to Moszner's problem [cf. Moszner (Ann Univ Paed Crac Stud Math XI:69-94, 2012), p. 93] concerning the superstability of the Cauchy equation with squares $$f(x + y)^2 = (f(x) + f(y))^2$$ f ( x + y ) 2 = ( f ( x ) + f ( y ) ) 2 in the class of functions mapping an Abelian semigroup into a finite-dimensional normed algebra without divisors of zero. | |
| 540 | |a The Author(s), 2014 | ||
| 690 | 7 | |a Stability |2 nationallicence | |
| 690 | 7 | |a Superstability |2 nationallicence | |
| 690 | 7 | |a Cauchy equation with squares |2 nationallicence | |
| 690 | 7 | |a Normed algebra |2 nationallicence | |
| 773 | 0 | |t Aequationes mathematicae |d Springer Basel |g 89/3(2015-06-01), 785-789 |x 0001-9054 |q 89:3<785 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-014-0267-5 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00010-014-0267-5 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Batko |D Bogdan |u Institute of Mathematics, Pedagogical University of Cracow, Podchora̧żych 2, 30-084, Kraków, Poland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer Basel |g 89/3(2015-06-01), 785-789 |x 0001-9054 |q 89:3<785 |1 2015 |2 89 |o 10 | ||