The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Spectral Theory in Hilbert Space


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

   Subscribe/Renew Journal


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.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 157

PDF Views: 0




  • Spectral Theory in Hilbert Space

Abstract Views: 157  |  PDF Views: 0

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.