Preliminaries

Carlos S. Kubrusly
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Carlos S. Kubrusly: Catholic University of Rio de Janeiro, Electrical Engineering Department

Chapter 1 in Spectral Theory of Operators on Hilbert Spaces, 2012, pp 1-25 from Springer

Abstract: Abstract This chapter summarizes the background required for the rest of the book. Its purpose is threefold: notation, terminology, and basic results. By basic results we mean well-known theorems from single operator theory that will be needed in the sequel. As usual, the set of nonnegative integers, positive integers, and all integers will be denoted by ℕ0, ℕ, ℤ, and the set of rational numbers, real numbers, and complex numbers will denoted by ℚ, ℝ, and ℂ, respectively.

Keywords: Hilbert Space; Banach Space; Linear Transformation; Normed Space; Orthogonal Projection (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-0-8176-8328-3_1

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