On the range of a normal Jordan * -derivation

Lajos Molnár

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 4, page 691-695
  • ISSN: 0010-2628

Abstract

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In this note, by means of the spectrum of the generating operator, we characterize the self-adjointness and closedness of the range of a normal and a self-adjoint Jordan *-derivation, respectively.

How to cite

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Molnár, Lajos. "On the range of a normal Jordan $^*$-derivation." Commentationes Mathematicae Universitatis Carolinae 35.4 (1994): 691-695. <http://eudml.org/doc/247595>.

@article{Molnár1994,
abstract = {In this note, by means of the spectrum of the generating operator, we characterize the self-adjointness and closedness of the range of a normal and a self-adjoint Jordan *-derivation, respectively.},
author = {Molnár, Lajos},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Jordan *-derivation; spectrum of the generating operator; self-adjointness; closedness; range of a normal and a self-adjoint Jordan *-derivation},
language = {eng},
number = {4},
pages = {691-695},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the range of a normal Jordan $^*$-derivation},
url = {http://eudml.org/doc/247595},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Molnár, Lajos
TI - On the range of a normal Jordan $^*$-derivation
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 4
SP - 691
EP - 695
AB - In this note, by means of the spectrum of the generating operator, we characterize the self-adjointness and closedness of the range of a normal and a self-adjoint Jordan *-derivation, respectively.
LA - eng
KW - Jordan *-derivation; spectrum of the generating operator; self-adjointness; closedness; range of a normal and a self-adjoint Jordan *-derivation
UR - http://eudml.org/doc/247595
ER -

References

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  1. Anderson J.H., Foias C., Properties which normal operators share with normal derivations and related operators, Pacific J. Math. 61 (1975), 313-325. (1975) Zbl0324.47018MR0412889
  2. Anderson J.H., Bunce J.W., Deddens J.A., Williams J.P., C*-algebras and derivation ranges, Acta Sci. Math. 40 (1978), 211-227. (1978) Zbl0406.46048MR0515202
  3. Johnson B.E., Williams J.P., The range of a normal derivation, Pacific J. Math. 58 (1975), 105-122. (1975) Zbl0275.47010MR0380490
  4. Molnár L., The range of Jordan *-derivation, submitted. 
  5. Šemrl P., Quadratic functionals and Jordan *-derivations, Studia Math. 97 (1991), 157-165. (1991) MR1100685
  6. Šemrl P., Quadratic and quasi-quadratic functionals, Proc. Amer. Math. Soc., to appear. MR1158008
  7. Šemrl P., Jordan *-derivations of standard operator algebras, Proc. Amer. Math. Soc. 120 (1994), 515-519. (1994) MR1186136
  8. Stampfli J.G., On the range of a hyponormal derivation, Proc. Amer. Math. Soc. 52 (1975), 117-120. (1975) Zbl0315.47019MR0377575
  9. Stampfli J.G., On self-adjoint derivation ranges, Pacific J. Math. 82 (1979), 257-277. (1979) Zbl0427.47025MR0549849

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