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In large part, the study of Banach and Hilbert spaces concentrates on the structure of linear maps between them. In particular, the notion of spectrum extends the notion of eigenvalues for matrices. In this chapter, we develop some of the basic ideas of linear operators and their spectra.

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高级检索

Linear Operators

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  • 发表日期：

    2025年

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  • Kenneth R. Davidson

摘要

In large part, the study of Banach and Hilbert spaces concentrates on the structure of linear maps between them. In particular, the notion of spectrum extends the notion of eigenvalues for matrices. In this chapter, we develop some of the basic ideas of linear operators and their spectra.