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: http://www.springerlink.com/content/v48735862xqg47...

Related URL: http://dx.doi.org/10.1007/BF01690985

## Abstract

Let (X,μ) be a separable σ-finite measure space. A bounded operator A on L^{2}(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 L^{2}(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