n-supercyclic operators

• Autorzy: Nathan S. Feldman
• Języki publikacji: EN

Abstrakty

EN

We show that there are linear operators on Hilbert space that have n-dimensional subspaces with dense orbit, but no (n-1)-dimensional subspaces with dense orbit. This leads to a new class of operators, called the n-supercyclic operators. We show that many cohyponormal operators are n-supercyclic. Furthermore, we prove that for an n-supercyclic operator, there are n circles centered at the origin such that every component of the spectrum must intersect one of these circles.

Kategorie tematyczne

• 47A16: Cyclic vectors, hypercyclic and chaotic operators
• 47B40: Spectral operators, decomposable operators, well-bounded operators, etc.
• 47B20: Subnormal operators, hyponormal operators, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 151
• Numer: 2
• Strony: 141-159

Daty

wydano

2002

Twórcy

autor

Nathan S. Feldman

• Department of Mathematics, Washington and Lee University, Lexington, VA 24450, U.S.A.

Identyfikatory

DOI

10.4064/sm151-2-3