The Journal of the Indian Mathematical Society

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Spectral Theory in Hilbert Space


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1 University of Madras in Madurai, Madurai-2, India
     

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The aim of this paper is to find (cf. Theorems 4.2; 4.3) a canonical form, and a complete set of invariants, for self-adjoint transformations in a Hilbert space-up to unitary equivalence. While the basic mode of approach is essentially the same as in the excellent exposition in Halmos [1], the final result will be seen to be very much simpler. We do not have to work with the fairly involved concepts of rows, columns, etc.
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  • Spectral Theory in Hilbert Space

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Authors

M. Venkataraman
University of Madras in Madurai, Madurai-2, India

Abstract


The aim of this paper is to find (cf. Theorems 4.2; 4.3) a canonical form, and a complete set of invariants, for self-adjoint transformations in a Hilbert space-up to unitary equivalence. While the basic mode of approach is essentially the same as in the excellent exposition in Halmos [1], the final result will be seen to be very much simpler. We do not have to work with the fairly involved concepts of rows, columns, etc.