Standard
The Browder spectrum of an elementary operator. /
Kitson, Derek.
Elementary operators and their applications : 3rd International Workshop held at Queen's University Belfast, 14-17 April 2009. ed. / Raul Curto; Martin Mathieu. Basel: Birkhäuser Verlag, 2011. p. 17-24 (Operator Theory: Advances and Applications; Vol. 212).
Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter (peer-reviewed)
Harvard
APA
Vancouver
Kitson D.
The Browder spectrum of an elementary operator. In Curto R, Mathieu M, editors, Elementary operators and their applications : 3rd International Workshop held at Queen's University Belfast, 14-17 April 2009. Basel: Birkhäuser Verlag. 2011. p. 17-24. (Operator Theory: Advances and Applications). doi: 10.1007/978-3-0348-0037-2_2
Author
Kitson, Derek. /
The Browder spectrum of an elementary operator. Elementary operators and their applications : 3rd International Workshop held at Queen's University Belfast, 14-17 April 2009. editor / Raul Curto ; Martin Mathieu. Basel : Birkhäuser Verlag, 2011. pp. 17-24 (Operator Theory: Advances and Applications).
Bibtex
@inbook{b2c0c3d9a9264d53a9039c179f82dbd4,
title = "The Browder spectrum of an elementary operator",
abstract = "We relate the ascent and descent of n-tuples of multiplication operators Ma,b(u)=aub to that of the coefficient Hilbert space operators a, b. For example, if a=(a1,…,an) and b∗=(b∗1,…,b∗m) have finite non-zero ascent and descent s and t, respectively, then the (n+m) -tuple (La,Rb) of left and right multiplication operators has finite ascent and descent s+t−1. . Using these results we obtain a description of the Browder joint spectrum of (La,Rb) and provide formulae for the Browder spectrum of an elementary operator acting on B(H) or on a norm ideal of B(H).",
author = "Derek Kitson",
year = "2011",
doi = "10.1007/978-3-0348-0037-2_2",
language = "English",
isbn = "9783034800365",
series = "Operator Theory: Advances and Applications",
publisher = "Birkh{\"a}user Verlag",
pages = "17--24",
editor = "Raul Curto and Martin Mathieu",
booktitle = "Elementary operators and their applications",
}
RIS
TY - CHAP
T1 - The Browder spectrum of an elementary operator
AU - Kitson, Derek
PY - 2011
Y1 - 2011
N2 - We relate the ascent and descent of n-tuples of multiplication operators Ma,b(u)=aub to that of the coefficient Hilbert space operators a, b. For example, if a=(a1,…,an) and b∗=(b∗1,…,b∗m) have finite non-zero ascent and descent s and t, respectively, then the (n+m) -tuple (La,Rb) of left and right multiplication operators has finite ascent and descent s+t−1. . Using these results we obtain a description of the Browder joint spectrum of (La,Rb) and provide formulae for the Browder spectrum of an elementary operator acting on B(H) or on a norm ideal of B(H).
AB - We relate the ascent and descent of n-tuples of multiplication operators Ma,b(u)=aub to that of the coefficient Hilbert space operators a, b. For example, if a=(a1,…,an) and b∗=(b∗1,…,b∗m) have finite non-zero ascent and descent s and t, respectively, then the (n+m) -tuple (La,Rb) of left and right multiplication operators has finite ascent and descent s+t−1. . Using these results we obtain a description of the Browder joint spectrum of (La,Rb) and provide formulae for the Browder spectrum of an elementary operator acting on B(H) or on a norm ideal of B(H).
U2 - 10.1007/978-3-0348-0037-2_2
DO - 10.1007/978-3-0348-0037-2_2
M3 - Chapter (peer-reviewed)
SN - 9783034800365
T3 - Operator Theory: Advances and Applications
SP - 17
EP - 24
BT - Elementary operators and their applications
A2 - Curto, Raul
A2 - Mathieu, Martin
PB - Birkhäuser Verlag
CY - Basel
ER -
