XIV.—On Bounded Integral Operators in the Space of Integrable-Square Functions

Author:

Chisholm R. S.,Everitt W. N.

Abstract

§ 1. Let L2(0, ∞) denote the Hilbert space of Lebesgue measurable, integrable-square functions on the half-line [0, ∞).Integral operators of the formacting on the space L2 (0, ∞) occur in the theory of ordinary differential equations; see for example the book by E. C. Titchmarsh [4; § 2.6]. It is important to establish when operators of this kind are bounded; see the book by A. E. Taylor [3; § 4.1 and §§4.11, 4.12 and § 4.13].

Publisher

Cambridge University Press (CUP)

Subject

General Medicine

Reference4 articles.

1. On the spectrum of ordinary second order differential operators;Chaudhuri;Proc. Roy. Soc. Edinb.,1969

2. A NOTE ON THE SELF-ADJOINT DOMAINS OF SECOND-ORDER DIFFERENTIAL EQUATIONS

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