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Erschienen in:
1997 | OriginalPaper | Buchkapitel
Unbounded operators
verfasst von : V. S. Sunder
Erschienen in: Functional Analysis
Verlag: Hindustan Book Agency
Enthalten in: Professional Book Archive
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This chapter will be concerned with some of the basic facts concerning unbounded operators on Hilbert spaces. We begin with some definitions. It will be necessary for us to consider operators which are not defined everywhere in a Hilbert space, but only on some linear subspace which is typically not closed; in fact, our primary interest will be in operators which are defined on a dense proper subspace. (Since we shall only consider Hilbert spaces, we adopt the following conventions throughout this chapter.)