Abstract
The main concepts related to the spectrum of a linear operator are presented, including the resolvent set, and the division of the spectrum into point, continuous and residual spectrum. A number of examples are discussed in detail. General properties of the spectrum are studied, with special attention paid to the case of self-adjoint and unitary operators. In the case of a bounded-linear operator on Hilbert space it is shown that the spectrum is compact and nonempty.
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