Abstract
Many problems in analysis lead irrevocably to unbounded operators. It suffices to mention the differential process, for early encounters, and, as a branch of functional analysis, the theory of partial differential equations (the final showdown). This chapter does not, by a long shot, cover the theory of unbounded operators (and a good excuse would be that there is no theory, only myriads of examples). A small area of this vast territory—dealing with a single unbounded, self-adjoint (or, maybe, normal) operator in a Hilbert space—can, however, be cultivated by the spectral theory of bounded operators; and this we propose to do in some detail.
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© 1989 Springer Science+Business Media New York
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Pedersen, G.K. (1989). Unbounded Operators. In: Analysis Now. Graduate Texts in Mathematics, vol 118. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1007-8_5
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DOI: https://doi.org/10.1007/978-1-4612-1007-8_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6981-6
Online ISBN: 978-1-4612-1007-8
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