Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3128
Abstract
In this paper, we use subsets of the Riemann sphere and specific types of invariant linear subspaces to introduce the extended spectral decomposable multivalued linear operators (linear relations) in Banach spaces. We also introduce the extended Bishop's property, the extended relatively single-valued extension property and the extended Dunford's property. More importantly, we show that these properties are three necessary conditions for a linear relation to be extended spectral decomposable.
Keywords
Multivalued linear operators, extended spectrum, extended spectral decomposable multivalued linear operator, extended Bishop's property, extended Dunford's property
First Page
864
Last Page
883
Recommended Citation
BARKAOUI, YOSRA and MNIF, MAHER
(2022)
"Necessary conditions for extended spectral decomposable multivalued linear operators,"
Turkish Journal of Mathematics: Vol. 46:
No.
3, Article 13.
https://doi.org/10.55730/1300-0098.3128
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss3/13
