An irreducible semigroup of idempotents

• Autorzy: Roman Drnovšek
• Języki publikacji: EN

Abstrakty

EN

We construct a semigroup of bounded idempotents with no nontrivial invariant closed subspace. This answers a question which was open for some time.

Słowa kluczowe

EN

invariant subspaces; idempotents; operator semigroups

Kategorie tematyczne

• 47D03: Groups and semigroups of linear operators
• 47A15: Invariant subspaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1997
• Tom: 125
• Numer: 1
• Strony: 97-99

Daty

wydano

1997

otrzymano

1997-01-09

Twórcy

autor

Roman Drnovšek

• Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia

Bibliografia

• [1] P. Fillmore, G. MacDonald, M. Radjabalipour and H. Radjavi, Towards a classification of maximal unicellular bands, Semigroup Forum 49 (1994), 195-215.
• [2] D. Hadwin, E. Nordgren, M. Radjabalipour, H. Radjavi and P. Rosenthal, A nil algebra of bounded operators on Hilbert space with semisimple norm closure, Integral Equations Operator Theory 9 (1986), 739-743.
• [3] H. Radjavi, On the reduction and triangularization of semigroups of operators, J. Operator Theory 13 (1985), 65-71.
• [4] H. Radjavi, Invariant subspaces and spectral conditions on operator semigroups, in: Linear Operators, Banach Center Publ. 38, Inst. Math., Polish Acad. Sci., 1997, 287-296.