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Authors
Affiliations
1 Department of Mathematics, University of Delhi, Delhi-110007, IN
Source
The Journal of the Indian Mathematical Society, Vol 38, No 1-4 (1974), Pagination: 355-357
Abstract
An Operator T on a Hilbert space H is said to be positive semidefinite (negative semi definite) if (Tx, x) ≥ 0 ((Tx, x) ≤ 0 ) ∀ x ∈ H . T is said to be semidefinite if it is either positive semidefinite or negative semidefinite. If (Tx, x) > 0((Tx, x) < 0) ∀ x ∈ H, then T is called positive definite (negative definite). T is defined to be definite if it is either positive definite or negative definite.