Abstract
For a Hilbert space one can distinguish three structures, namely the linear, the geometric and the topological structure. This chapter begins with the study of mappings which are compatible with these structures. In this first chapter on linear operators the topological structure is not taken into account and accordingly the operators studied in this chapter are not considered to be continuous. Certainly, this will be relevant only in the case of infinite dimensional Hilbert spaces, since on a finite dimensional vector space every linear function is continuous.
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© 2003 Springer Science+Business Media New York
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Blanchard, P., Brüning, E. (2003). Linear Operators. In: Mathematical Methods in Physics. Progress in Mathematical Physics, vol 26. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0049-9_19
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DOI: https://doi.org/10.1007/978-1-4612-0049-9_19
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6589-4
Online ISBN: 978-1-4612-0049-9
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