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ALGEBRAIC SPECTRAL SUBSPACES OF OPERATORS WITH FINITE ASCENT
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논문 기본 정보

Type
Academic journal
Author
Han, Hyuk (Department of Liberal Arts Kongju National University)
Journal
충청수학회 충청수학회지 충청수학회지 제29권 제4호 KCI Accredited Journals
Published
2016.1
Pages
677 - 686 (10page)

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ALGEBRAIC SPECTRAL SUBSPACES OF OPERATORS WITH FINITE ASCENT
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Abstract· Keywords

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Algebraic spectral subspaces were introduced by Johnson and Sinclair via a transnite 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.
#local spectral theory #algebraic spectral subspaces

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