2001International Journal of Mathematics and Mathematical SciencesOpen access

Some remarks on the invariant subspace problem for hyponormal operators

Vasile Lauric

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Abstract

We make some remarks concerning the invariant subspace problem for hyponormal operators. In particular, we bring together various hypotheses that must hold for a hyponormal operator without nontrivial invariant subspaces, and we discuss the existence of such operators.

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We make some remarks concerning the invariant subspace problem for hyponormal operators. In particular, we bring together various hypotheses that must hold for a hyponormal operator without nontrivial invariant subspaces, and we discuss the existence of such operators.

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Available abstract

We make some remarks concerning the invariant subspace problem for hyponormal operators. In particular, we bring together various hypotheses that must hold for a hyponormal operator without nontrivial invariant subspaces, and we discuss the existence of such operators.

Key concepts: Mathematics, Invariant subspace, Linear subspace, Reflexive operator algebra, Invariant (physics), Invariant subspace problem, Subspace topology, Operator (biology)

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