ArticleOriginal scientific text

Title

On the structure of Jordan *-derivations

Authors 1, 2

Affiliations

  1. Department of Mathematics, University of Maribor, PF, Koroška 160, 62000 Maribor, Slovenia
  2. Department of Mathematics, University of Ljubljana, SF, Murnikova 2, 61000 Ljubljana, Slovenia

Bibliography

  1. F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, Berlin 1973.
  2. M. Brešar, Jordan derivations on semiprime rings, Proc. Amer. Math. Soc. 104 (1988), 1003-1006.
  3. M. Brešar, Jordan mappings of semiprime rings, J. Algebra 127 (1989), 218-228.
  4. M. Brešar and J. Vukman, On some additive mappings in rings with involution, Aequationes Math. 38 (1989), 178-185.
  5. M. Brešar and J. Vukman, Jordan (Θ,φ)-derivations, Glasnik Mat., to appear.
  6. R. C. Busby, Double centralizers and extensions of C*-algebras, Trans. Amer. Math. Soc. 132 (1968), 79-99.
  7. P. R. Chernoff, Representations, automorphisms and derivations of some operator algebras, J. Funct. Anal. 12 (1973), 257-289.
  8. S. Kurepa, Quadratic and sesquilinear functionals, Glasnik Mat. Fiz.-Astronom. 20 (1965), 79-92.
  9. A. Leroy et J. Matczuk, Quelques remarques à propos des S-dérivations, Comm. Algebra 13 (1985), 1229-1244.
  10. W. S. Martindale, Jordan homomorphisms of the symmetric elements of a ring with involution, J. Algebra 5 (1967), 232-249.
  11. W. S. Martindale, Prime rings satisfying a generalized polynomial identity, ibid. 12 (1969), 576- 584.
  12. P. Šemrl, On quadratic functionals, Bull. Austral. Math. Soc. 37 (1988), 27-28.
  13. P. Šemrl, On Jordan *-derivations and an application, Colloq. Math. 59 (1990), 241-251.
  14. P. Šemrl, Quadratic functionals and Jordan *-derivations, Studia Math. 97 (1991), 157- 165.
  15. P. Vrbová, Quadratic functionals and bilinear forms, Časopis Pěst. Mat. 98 (1973), 159-161.
  16. J. Vukman, Some functional equations in Banach algebras and an application, Proc. Amer. Math. Soc. 100 (1987), 133-136.
Pages:
163-171
Main language of publication
English
Received
1990-11-26
Published
1992
Exact and natural sciences