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ON DIFFERENTIAL OPERATORS ON W<sup>1,2</sup> SPACE AND FREDHOLM OPERATORS


MO Egwurube
EJD Garba
BO Ovelami

Abstract

A selfadjoint differential operator defined over a closed and bounded interval on Sobolev space which is a dense linear subspace of a Hilbert space over the same interval is considered and shown to be a Fredholm operator with index zero.


KEY WORDS: Sobolev space, Hilbert space, dense subspace, Fredholm operator


Global Jnl of Mathematical Sciences Vol. 31) 2004: 27-34

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eISSN: 1596-6208