ADJOINT OPERATORS ON A HILBERT SPACE
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