ALGEBRAIC SPECTRAL SUBSPACES OF OPERATORS WITH FINITE ASCENT

Abstract

Algebraic spectral subspaces were introduced by Johnson and Sinclair via a transfinite sequence of spaces. Laursen simplified 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.

This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.