Bounded Linear Operators on Hilbert Spaces
In this chapter, continuous linear functions defined on a Hubert space are introduced and studied. These functions are described by infinite matrices in the same way as linear transformations on ℂn are represented by finite matrices. In this way the chapter may be viewed as a beginning of a theory of infinite matrices. As may be expected, analysis plays a very important role.
KeywordsHilbert Space Orthonormal Basis Orthogonal Projection Compact Operator Bounded Linear Operator
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