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Title

ON THE DECOMPOSITION OF HILBERT SPACES

Writers

AFSHIN H.R. | RANJBAR M.A.

Pages

 Start Page 1 | End Page 7

Abstract

 A basic relation between NUMERICAL RANGE and DAVIS-WIELANDT SHELL of an operatorA acting on a Hilbert space with orthonormal basis  e= [ei|I ϵ I} and its conjugate A- which is introduced in this paper are obtained. The results are used to study the relation between point spectrum, approximate spectrum and residual spectrum of A and A-. A necessary and sufficient condition for A to be self-conjugate (A=A-) is given using a subgroup of H.

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