Operators on Hilbert Spaces

Lars Tuset
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Lars Tuset: Oslo Metropolitan University, Department of Computer Science

Chapter Chapter 4 in Analysis and Quantum Groups, 2022, pp 95-129 from Springer

Abstract: Abstract Orthogonality in infinite dimensions is best studied in Hilbert spaces. These are Banach spaces with norms given by scalar products, so called inner products. The fundamental example of a Hilbert space is the L2-space of the circle. A function, or vector, here can be thought of as a light signal, which through its Fourier series, is decomposed into orthogonal directions, each corresponding to a specific color identified with a certain frequency.

Date: 2022
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DOI: 10.1007/978-3-031-07246-8_4

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