Biorthogonality, Minimality, and More About Bases

Heil, Christopher

doi:10.1007/978-0-8176-4687-5_5

Christopher Heil²

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

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Abstract

In this chapter we explore some of the many “shades of grey“ in the meaning of independence in infinite-dimensional Banach spaces, and we apply this knowledge to derive additional results about Schauder bases.

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Basic Linear Structure

Biorthogonal Systems

Holomorphic automorphisms of complex Banach spaces

Article 25 October 2017

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School of Mathematics, Georgia Institute of Technology, Atlanta, GA, 30332-0160, USA
Christopher Heil

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Christopher Heil
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Heil, C. (2011). Biorthogonality, Minimality, and More About Bases. In: A Basis Theory Primer. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4687-5_5

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DOI: https://doi.org/10.1007/978-0-8176-4687-5_5
Published: 24 October 2010
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4686-8
Online ISBN: 978-0-8176-4687-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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