# On the range of a Jordan *-derivation

Commentationes Mathematicae Universitatis Carolinae (1996)

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

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topBattyányi, 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

top- Apostol C., Stampfli J.G., On derivation ranges, Indiana Univ. Math. J. 25 (1976), 857-869. (1976) Zbl0355.47025MR0412890
- Brešar M., Zalar B., On the structure of Jordan *-derivations, Colloquium Math. 63 (1992), 163-171. (1992) MR1180629
- Fialkow L.A., Loebl R., Elementary mappings into ideals of operators, Ill. J. Math. 28 (1984), 555-578. (1984) Zbl0529.47033MR0761990
- Fillmore P.A., Stampfli J.G., Williams J.P., On the essential numerical range, the essential spectrum, and a problem of Halmos, Acta Sci. Math. 33 (1972), 179-192. (1972) Zbl0246.47006MR0322534
- Johnson B.E., Williams J.P., The range of a normal derivation, Pacific J. Math. 58 (1975), 105-122. (1975) Zbl0275.47010MR0380490
- Molnár L., The range of a Jordan *-derivation, preprint. MR1416276
- Molnár L., On the range of a normal Jordan *-derivation, Comment. Math. Univ. Carolinae 35 (1994), 691-695. (1994) MR1321239
- Molnár L., Jordan *-derivation pairs on a complex *-algebra, preprint. MR1466293
- Molnár L., A condition for a subspace of $\mathcal{B}\left(H\right)$ to be an ideal, Linear Algebra and Appl., to appear. Zbl0852.46021MR1374262
- Molnár L., The range of a Jordan *-derivation on an ${H}^{*}$-algebra, preprint. MR1406395
- Radjavi H., Rosenthal P., Matrices for operators and generators of $\mathcal{B}\left(H\right)$, J. London Math. Soc. 2 (1970), 557-560. (1970) MR0265978
- Šemrl P., On Jordan *-derivations and an application, Colloquium Math. 59 (1990), 241-251. (1990) MR1090656
- Šemrl P., Quadratic functionals and Jordan *-derivations, Studia Math. 97 (1991), 157-165. (1991) MR1100685
- Šemrl P., Quadratic and quasi-quadratic functionals, Proc. Amer. Math. Soc. 119 (1993), 1105-1113. (1993) MR1158008
- Šemrl P., Jordan *-derivations of standard operator algebras, Proc. Amer. Math. Soc. 120 (1994), 515-518. (1994) MR1186136
- Stampfli J.G., Derivations on $\mathcal{B}\left(\mathscr{H}\right)$: The range, Ill. J. Math. 17 (1973), 518-524. (1973) MR0318914
- Stampfli J.G., On the range of a hyponormal derivation, Proc. Amer. Math. Soc. 52 (1975), 117-120. (1975) Zbl0315.47019MR0377575
- Williams J.P., Derivations ranges: open questions, Topics in Modern Operator Theory (Timisoara/ Herculane, 1980), Birkhäuser, Basel-Boston, Mass., 1981, pp. 319-328. MR0672832
- Zalar B., Jordan *-derivation pairs and quadratic functionals on modules over *-rings, preprint. MR1466292

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