Analysis on Hilbert Space

Tepper L. Gill and Woodford Zachary
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Tepper L. Gill: Howard University, Departments of Electrical and Computer Engineering
Woodford Zachary: Howard University, Departments of Electrical and Computer Engineering

Chapter Chapter 4 in Functional Analysis and the Feynman Operator Calculus, 2016, pp 151-191 from Springer

Abstract: Abstract In this chapter we study operator theory on separable Hilbert spaces. The first part is devoted to some important results on the integration of operator-valued functions. Although some additional material has also been included, the second part is a review of standard theory of operators on Hilbert spaces. The only new material is a recent new spectral representation for linear operators based on the polar decomposition. All results and concepts that are independent of the inner product apply to Banach spaces and will be used in the next chapter without further comment.

Keywords: Hilbert Space; Linear Operator; Compact Operator; Separable Hilbert Space; Polar Decomposition (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-27595-6_4

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DOI: 10.1007/978-3-319-27595-6_4

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