Question: Where Pos(V) means Positive semidefinite operator (4) For PEL(V) show that the following are equivalent. (a) P E Pos(V) that is (v|P|v) Ry, for all

Where Pos(V) means Positive semidefinite operator (4) For PEL(V) show that

Where Pos(V) means Positive semidefinite operator

(4) For PEL(V) show that the following are equivalent. (a) P E Pos(V) that is (v|P|v) Ry, for all v EV. (b) P Herm(V) and its eigenvalues belong to Ryo- (c) P = At A for some A E L(V). (d) (Q,P) e Ryo for all Qe Pos(V). (4) For PEL(V) show that the following are equivalent. (a) P E Pos(V) that is (v|P|v) Ry, for all v EV. (b) P Herm(V) and its eigenvalues belong to Ryo- (c) P = At A for some A E L(V). (d) (Q,P) e Ryo for all Qe Pos(V)

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