ADJOINT OPERATORS ON A HILBERT SPACE

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Date
1997-07
Authors
SHILGBA, LEONARD KARSHIMA
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Abstract
Hilbert spaces are some of the ABSTRACT SPACES of interest in the abstract branch of mathematics called FUNCTIONAL ANALYSIS, The aim of the present work is to isolate linear operators on these abstract spaces (HILBERT SPACES) with the singular property of SELF-ADJ0INTNE3S for investigation. Algebraic and analytic properties of such operators come under survey. The SPECTRAL THEORY vis-a-vis these operators is explored. Furthermore, the approximate point spectrum ( oa (T) ) of a self adjoint operator T on a non-trivial separable Hilbert space examined with some proposition relating it to the POINT (EXACT POINT) spectrum ( oa(T) ) of T
Description
A thesis submitted to the Postgraduate School, Ahmadu Bello University, Zaria, Nigeria in Partial Fulfillment of the Requirements for the Award of Master of Science (M. Sc.) Degree in Mathematics. Department of Mathematics Ahmadu Bello University, Zaria. JULY, 1997
Keywords
ADJOINT,, OPERATORS,, HILBERT,, SPACE
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