On the structure of Jordan *-derivations

Matej Brešar; Borut Zalar

Colloquium Mathematicae (1992)

  • Volume: 63, Issue: 2, page 163-171
  • ISSN: 0010-1354

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Brešar, Matej, and Zalar, Borut. "On the structure of Jordan *-derivations." Colloquium Mathematicae 63.2 (1992): 163-171. <http://eudml.org/doc/210142>.

@article{Brešar1992,
author = {Brešar, Matej, Zalar, Borut},
journal = {Colloquium Mathematicae},
keywords = {-ring; Jordan -derivation; inner Jordan -derivations; double centralizers; automatic continuity; structure of Jordan -derivations},
language = {eng},
number = {2},
pages = {163-171},
title = {On the structure of Jordan *-derivations},
url = {http://eudml.org/doc/210142},
volume = {63},
year = {1992},
}

TY - JOUR
AU - Brešar, Matej
AU - Zalar, Borut
TI - On the structure of Jordan *-derivations
JO - Colloquium Mathematicae
PY - 1992
VL - 63
IS - 2
SP - 163
EP - 171
LA - eng
KW - -ring; Jordan -derivation; inner Jordan -derivations; double centralizers; automatic continuity; structure of Jordan -derivations
UR - http://eudml.org/doc/210142
ER -

References

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  1. [1] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, Berlin 1973. Zbl0271.46039
  2. [2] M. Brešar, Jordan derivations on semiprime rings, Proc. Amer. Math. Soc. 104 (1988), 1003-1006. Zbl0691.16039
  3. [3] M. Brešar, Jordan mappings of semiprime rings, J. Algebra 127 (1989), 218-228. Zbl0691.16040
  4. [4] M. Brešar and J. Vukman, On some additive mappings in rings with involution, Aequationes Math. 38 (1989), 178-185. Zbl0691.16041
  5. [5] M. Brešar and J. Vukman, Jordan (Θ,φ)-derivations, Glasnik Mat., to appear. 
  6. [6] R. C. Busby, Double centralizers and extensions of C*-algebras, Trans. Amer. Math. Soc. 132 (1968), 79-99. Zbl0165.15501
  7. [7] P. R. Chernoff, Representations, automorphisms and derivations of some operator algebras, J. Funct. Anal. 12 (1973), 257-289. 
  8. [8] S. Kurepa, Quadratic and sesquilinear functionals, Glasnik Mat. Fiz.-Astronom. 20 (1965), 79-92. Zbl0147.35202
  9. [9] A. Leroy et J. Matczuk, Quelques remarques à propos des S-dérivations, Comm. Algebra 13 (1985), 1229-1244. Zbl0569.16028
  10. [10] W. S. Martindale, Jordan homomorphisms of the symmetric elements of a ring with involution, J. Algebra 5 (1967), 232-249. Zbl0164.03601
  11. [11] W. S. Martindale, Prime rings satisfying a generalized polynomial identity, ibid. 12 (1969), 576- 584. Zbl0175.03102
  12. [12] P. Šemrl, On quadratic functionals, Bull. Austral. Math. Soc. 37 (1988), 27-28. Zbl0625.46058
  13. [13] P. Šemrl, On Jordan *-derivations and an application, Colloq. Math. 59 (1990), 241-251. Zbl0723.46044
  14. [14] P. Šemrl, Quadratic functionals and Jordan *-derivations, Studia Math. 97 (1991), 157- 165. Zbl0761.46047
  15. [15] P. Vrbová, Quadratic functionals and bilinear forms, Časopis Pěst. Mat. 98 (1973), 159-161. Zbl0263.39008
  16. [16] J. Vukman, Some functional equations in Banach algebras and an application, Proc. Amer. Math. Soc. 100 (1987), 133-136. Zbl0623.46021

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