On the range of a Jordan *-derivation

Péter Battyányi

Commentationes Mathematicae Universitatis Carolinae (1996)

  • Volume: 37, Issue: 4, page 659-665
  • ISSN: 0010-2628

Abstract

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In this paper, we examine some questions concerned with certain ``skew'' properties of the range of a Jordan *-derivation. In the first part we deal with the question, for example, when the range of a Jordan *-derivation is a complex subspace. The second part of this note treats a problem in relation to the range of a generalized Jordan *-derivation.

How to cite

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Battyányi, Péter. "On the range of a Jordan *-derivation." Commentationes Mathematicae Universitatis Carolinae 37.4 (1996): 659-665. <http://eudml.org/doc/247934>.

@article{Battyányi1996,
abstract = {In this paper, we examine some questions concerned with certain ``skew'' properties of the range of a Jordan *-derivation. In the first part we deal with the question, for example, when the range of a Jordan *-derivation is a complex subspace. The second part of this note treats a problem in relation to the range of a generalized Jordan *-derivation.},
author = {Battyányi, Péter},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Jordan *-derivation},
language = {eng},
number = {4},
pages = {659-665},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the range of a Jordan *-derivation},
url = {http://eudml.org/doc/247934},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Battyányi, Péter
TI - On the range of a Jordan *-derivation
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 4
SP - 659
EP - 665
AB - In this paper, we examine some questions concerned with certain ``skew'' properties of the range of a Jordan *-derivation. In the first part we deal with the question, for example, when the range of a Jordan *-derivation is a complex subspace. The second part of this note treats a problem in relation to the range of a generalized Jordan *-derivation.
LA - eng
KW - Jordan *-derivation
UR - http://eudml.org/doc/247934
ER -

References

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  11. Radjavi H., Rosenthal P., Matrices for operators and generators of ℬ ( H ) , J. London Math. Soc. 2 (1970), 557-560. (1970) MR0265978
  12. Šemrl P., On Jordan *-derivations and an application, Colloquium Math. 59 (1990), 241-251. (1990) MR1090656
  13. Šemrl P., Quadratic functionals and Jordan *-derivations, Studia Math. 97 (1991), 157-165. (1991) MR1100685
  14. Šemrl P., Quadratic and quasi-quadratic functionals, Proc. Amer. Math. Soc. 119 (1993), 1105-1113. (1993) MR1158008
  15. Šemrl P., Jordan *-derivations of standard operator algebras, Proc. Amer. Math. Soc. 120 (1994), 515-518. (1994) MR1186136
  16. Stampfli J.G., Derivations on ℬ ( ℋ ) : The range, Ill. J. Math. 17 (1973), 518-524. (1973) MR0318914
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  18. Williams J.P., Derivations ranges: open questions, Topics in Modern Operator Theory (Timisoara/ Herculane, 1980), Birkhäuser, Basel-Boston, Mass., 1981, pp. 319-328. MR0672832
  19. Zalar B., Jordan *-derivation pairs and quadratic functionals on modules over *-rings, preprint. MR1466292

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