Almost invariant half-spaces for operators on Hilbert space. II: operator matrices

2017/10/26 by Jung, Il Bong, Ko, Eungil, Pearcy, Carl · 1 citation
#47A15 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1710.09937

Abstract

This paper is a sequel to [6]. In that paper we transferred the discussions in [1] and [13] concerning almost invariant half-spaces for operators on complex Banach spaces to the context of operators on Hilbert space, and we gave easier proofs of the main results in [1] and [13]. In the present paper we discuss consequences of the above-mentioned results for the matricial structure of operators on Hilbert space.

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