학술저널
ALGEBRAIC SPECTRAL SUBSPACES OF OPERATORS WITH FINITE ASCENT
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 29, No. 4
-
2016.11677 - 686 (10 pages)
- 2
Algebraic spectral subspaces were introduced by John-son and Sinclair via a transfinite sequence of spaces. Laursen simpli-fied the definition of algebraic spectral subspace. Algebraic spectral subspaces are useful in automatic continuity theory of intertwining linear operators on Banach spaces. In this paper, we characterize algebraic spectral subspaces of operators with finite ascent. From this characterization we show that if T is a generalized scalar operator, then T has finite ascent.
1. Introduction
2. Spectral subspaces of operators with finite ascent
(0)
(0)