Locally inner derivations of standard operator algebras

Lajos Molnár

Mathematica Bohemica (1996)

  • Volume: 121, Issue: 1, page 1-7
  • ISSN: 0862-7959

Abstract

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It is proved that every locally inner derivation on a symmetric norm ideal of operators is an inner derivation.

How to cite

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Molnár, Lajos. "Locally inner derivations of standard operator algebras." Mathematica Bohemica 121.1 (1996): 1-7. <http://eudml.org/doc/247986>.

@article{Molnár1996,
abstract = {It is proved that every locally inner derivation on a symmetric norm ideal of operators is an inner derivation.},
author = {Molnár, Lajos},
journal = {Mathematica Bohemica},
keywords = {local derivation; standard operator algebra; locally inner derivation; symmetric norm ideal; local derivation; standard operator algebra},
language = {eng},
number = {1},
pages = {1-7},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Locally inner derivations of standard operator algebras},
url = {http://eudml.org/doc/247986},
volume = {121},
year = {1996},
}

TY - JOUR
AU - Molnár, Lajos
TI - Locally inner derivations of standard operator algebras
JO - Mathematica Bohemica
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 121
IS - 1
SP - 1
EP - 7
AB - It is proved that every locally inner derivation on a symmetric norm ideal of operators is an inner derivation.
LA - eng
KW - local derivation; standard operator algebra; locally inner derivation; symmetric norm ideal; local derivation; standard operator algebra
UR - http://eudml.org/doc/247986
ER -

References

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  5. R. V. Kadison, 10.1016/0021-8693(90)90095-6, J. Algebra 130 (1990), 494-509. (1990) Zbl0751.46041MR1051316DOI10.1016/0021-8693(90)90095-6
  6. D. R. Larson, A. R. Sourour, Local derivations and local automorphisms of B(X), Proc. Sympos. Pure Math. 51. Part 2, Providence, Rhode Island 1990, pp. 187-194. (1990) MR1077437
  7. S. Sakai, 10.2307/1970432, Ann. Math. 83 (1966), 273-279. (1966) MR0193528DOI10.2307/1970432
  8. P. Šemrl, 10.1215/ijm/1255987893, Illinois J. Math. 35 (1991), 234-240. (1991) MR1091440DOI10.1215/ijm/1255987893
  9. P. Šemrl, 10.1006/jfan.1993.1035, J. Funct. Anal. 112 (1993), 318-324. (1993) MR1213141DOI10.1006/jfan.1993.1035
  10. B. Simon, Trace Ideals and Their Applications, Cambridge University Press, Cambridge, 1979. (1979) Zbl0423.47001MR0541149

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