On the pseudospectrum preservers
2020 ◽
Vol 39
(6)
◽
pp. 1457-1469
Keyword(s):
Let X and Y be two complex Banach spaces, and let B(X) denotes the algebra of all bounded linear operators on X. We characterize additive maps from B(X) onto B(Y ) compressing the pseudospectrum subsets Δϵ(.), where Δϵ (.) stands for any one of the spectral functions σϵ (.), σlϵ (.) and σrϵ (.) for some ϵ > 0. We also characterize the additive (resp. non-linear) maps from B(X) onto B(Y) preserving the pseudospectrum σϵ (.) of generalized products of operators for some ϵ > 0 (resp. for every ϵ > 0).
2003 ◽
Vol 133
(1)
◽
pp. 197-212
◽
2016 ◽
Vol 160
(3)
◽
pp. 413-421
◽
Keyword(s):
1969 ◽
Vol 16
(3)
◽
pp. 227-232
◽
Keyword(s):
1982 ◽
Vol 25
(1)
◽
pp. 78-81
◽
2014 ◽
Vol 57
(3)
◽
pp. 709-718
◽
Keyword(s):
Keyword(s):