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Banach Spaces and Operator Theory

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A Basis Theory Primer

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

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The tools that we need to develop the abstract theory of bases and frames are largely drawn from the field of functional analysis. Therefore, the first two chapters of this volume survey the basic definitions and theorems from functional analysis that will be used throughout this volume. This chapter reviews foundational material that is likely to be at least partially familiar to most readers, while Chapter 2 delves into more advanced topics in functional analysis.

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Authors and Affiliations

  1. School of Mathematics, Georgia Institute of Technology, Atlanta, GA, 30332-0160, USA

    Christopher Heil

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  1. Christopher Heil
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Correspondence to Christopher Heil .

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© 2011 Birkhäuser Boston

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Heil, C. (2011). Banach Spaces and Operator Theory. In: A Basis Theory Primer. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4687-5_1

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