Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras / F. F. Bonsall, J. Duncan.

By: Bonsall, F. F [author.]Contributor(s): Duncan, J [author.]Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 2Publisher: Cambridge : Cambridge University Press, 1971Description: 1 online resource (148 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9781107359895 (ebook)Other title: Numerical Ranges of Operators on Normed Spaces & of Elements of Normed AlgebrasSubject(s): Normed linear spaces | Banach algebras | Linear operatorsAdditional physical formats: Print version: : No titleDDC classification: 512/.55 LOC classification: QA322 | .B65Online resources: Click here to access online Summary: The theory of the numerical range of a linear operator on an arbitrary normed space had its beginnings around 1960, and during the 1970s the subject has developed and expanded rapidly. This book presents a self-contained exposition of the subject as a whole. The authors develop various applications, in particular to the study of Banach algebras where the numerical range provides an important link between the algebraic and metric structures.
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The theory of the numerical range of a linear operator on an arbitrary normed space had its beginnings around 1960, and during the 1970s the subject has developed and expanded rapidly. This book presents a self-contained exposition of the subject as a whole. The authors develop various applications, in particular to the study of Banach algebras where the numerical range provides an important link between the algebraic and metric structures.

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