Two characterization theorems for integral operators

Sunder, V. S. (1978) Two characterization theorems for integral operators Integral Equations and Operator Theory, 1 (2). pp. 250-269. ISSN 0378-620X

Full text not available from this repository.

Official URL:

Related URL:


Let (X,μ) be a separable σ-finite measure space. A bounded operator A on L2(X) is called an integral operator if it is induced by an equation: Af(x)=∫k(x,y)f(y)dμ(y), where k is a measurable function on X×X such that ∫|k(x,y)f(y)|dμ(y) < > ∞ a.e. for every f in L2(X). In this paper, some results on Carleman operators, due to von Neumann, Tarjonski and Weidmann, are extended to the case of the general integral operator.

Item Type:Article
Source:Copyright of this article belongs to Springer.
ID Code:53548
Deposited On:09 Aug 2011 11:47
Last Modified:09 Aug 2011 11:47

Repository Staff Only: item control page