Abstract
AbstractIn this paper, we study some local spectral properties of operators having form JTJ, where J is a conjugation on a Hilbert space H and $$T\in L(H)$$
T
∈
L
(
H
)
. We also study the relationship between the quasi-nilpotent part of the adjoint $$T^*$$
T
∗
and the analytic core K(T) in the case of decomposable complex symmetric operators. In the last part we consider Weyl type theorems for triangular operator matrices for which one of the entries has form JTJ, or has form $$JT^*J$$
J
T
∗
J
. The theory is exemplified in some concrete cases.
Funder
Università degli Studi di Palermo
Publisher
Springer Science and Business Media LLC
Reference24 articles.
1. Aiena, P.: Algebraically paranormal operators on Banach spaces. Banach J. Math. Anal. 7(2), 136–145 (2013)
2. Aiena, P.: Fredholm and Local Spectral Theory II, with Applications to Weyl-type Theorems. Lecture Notes, vol. 2235. Springer, Berlin (2019)
3. Aiena, P.: On the spectral mapping theorem for Weyl spectra of Toeplitz operators. Adv. Oper. Theory (2020). https://doi.org/10.1007/s43036-020-00069-3
4. Aiena, P., Neumann, M.: On the stability of the localized single-valued extension property under commuting perturbations. Proc. Am. Math. Soc. 141(6), 2039–2050 (2013)
5. Aiena, P., Colasante, M.L., Gonzalez, M.: Operators which have a closed quasi-nilpotent part. Proc. Am. Math. Soc. 130(9), 2701–2710 (2002)
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献