Spectral structure of the well-bounded operators of type (B) on \(\varSigma^1_e\) type Banach spaces. (Chinese. English summary) Zbl 1212.47112
Summary: This paper gives the special structure of the spectrum of bounded linear operators on a class of indecomposable \(\varSigma^1_e\) type Banach spaces; it shows that there is a \(\varSigma^1_e\) type Banach space on which there is a well-bounded operator of type (B) such that the spectrum is an infinite countable set.
MSC:
| 47L10 | Algebras of operators on Banach spaces and other topological linear spaces |
| 47A10 | Spectrum, resolvent |
| 47B06 | Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators |
