n-supercyclic operators

Nathan S. Feldman. "n-supercyclic operators." Studia Mathematica 151.2 (2002): 141-159. <http://eudml.org/doc/284387>.

@article{NathanS2002,
abstract = {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.},
author = {Nathan S. Feldman},
journal = {Studia Mathematica},
keywords = {hypercyclic; supercyclic; hyponormal; properties and ; local spectral theory; direct sum; supercyclicity criterion},
language = {eng},
number = {2},
pages = {141-159},
title = {n-supercyclic operators},
url = {http://eudml.org/doc/284387},
volume = {151},
year = {2002},
}

TY - JOUR
AU - Nathan S. Feldman
TI - n-supercyclic operators
JO - Studia Mathematica
PY - 2002
VL - 151
IS - 2
SP - 141
EP - 159
AB - 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.
LA - eng
KW - hypercyclic; supercyclic; hyponormal; properties and ; local spectral theory; direct sum; supercyclicity criterion
UR - http://eudml.org/doc/284387
ER -