A dense domain for T₋₃,₃ in L²(−∞,∞)

College

College of Science

Department/Unit

Physics

Document Type

Conference Proceeding

First Page

1

Last Page

4

Publication Date

2013

Abstract

This paper attempts to construct a domain D(T-3,3) for the operator T-3,3 in the Hilbert Space H = L2 (−∞, ∞). The domain constructed is a linear span of the basic vectors φ(e\o) satisfying suitable conditions so that |(T-3,3φ(e\o))|2 < ∞. It was then shown that D(T-3,3) is dense in L2(−∞, ∞) making T-3,3 a densely-defined operator.

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Disciplines

Physics

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