Abstract
This chapter introduces the reader to unbounded selfadjoint operators on a complex Hilbert space. We give examples of such operators, describe their elementary properties, and prove the spectral theorem. The main method employed here is to transfer from the unbounded operator to its resolvent and to apply our results for bounded selfadjoint operators.
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© 1990 Springer Basel AG
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Gohberg, I., Goldberg, S., Kaashoek, M.A. (1990). Unbounded Selfadjoint Operators. In: Classes of Linear Operators Vol. I. Operator Theory: Advances and Applications, vol 49. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7509-7_17
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DOI: https://doi.org/10.1007/978-3-0348-7509-7_17
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-7511-0
Online ISBN: 978-3-0348-7509-7
eBook Packages: Springer Book Archive