[Authors]
O. I. Reinov
[Title]
Some remarks on spectra of nuclear operators
[AMS Subj-class]
47B10 Operators belonging to operator ideals (nuclear, $p$-summing,
in the Schatten-von Neumann classes, etc.)
[Abstract]
We give criteria for the spectra of some nuclear operators
in subspaces of quotients of L_p-spaces to be central-symmetric,
as well as for the spectra of linear operators in Banach spaces
to be Z_d-symmetric in the sense of B. Mityagin. Also,
we present a short proof of a generalization of Mityagin's theorem.
[Comments]
LaTeX, English, 9 pp.
[Contact e-mail]
orein51@mail.ru