Some remarks on spectra of nuclear operators

Abstract

We give criteria for the spectra of some nuclear operators in subspaces of quotients of Lp-spaces to be central-symmetric, as well as for the spectra of linear operators in Banach spaces to be Zd-symmetric in the sense of B. Mityagin. Also, we present a short proof of a corresponding Mityagin’s theorem.

Keywords

• tensor product
• approximation property
• eigenvalue
• fredholm determinant
• 47b06
• 47b10