ON DIFFERENTIAL OPERATORS ON W 1,2 SPACE AND FREDHOLM OPERATORS

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