ArticleOriginal scientific text

Title

A quasinilpotent operator with reflexive commutant

Authors 1

Affiliations

  1. Department of Mathematics, FEI, Slovak Technical University, Ilkovičova 3, 812 19 Bratislava, Slovak Republic

Abstract

An example of a nonzero quasinilpotent operator with reflexive commutant is presented.

Keywords

quasinilpotent operator, commutant, reflexivity

Bibliography

  1. Š. Drahovský and M. Zajac, Hyperinvariant subspaces of operators on Hilbert spaces, in: Functional Analysis and Operator Theory, Banach Center Publ. 30, Inst. Math., Polish Acad. Sci., 1994, 117-126.
  2. D. Hadwin and E. A. Nordgren, Reflexivity and direct sums, Acta Sci. Math. (Szeged) 55 (1991), 181-197.
  3. D. A. Herrero, A dense set of operators with tiny commutants, Trans. Amer. Math. Soc. 327 (1991), 159-183.
  4. W. R. Wogen, On cyclicity of commutants, Integral Equations Operator Theory 5 (1982), 141-143.
Pages:
277-283
Main language of publication
English
Accepted
1996-01-29
Published
1996
Exact and natural sciences