Multilinear and power functionals and operators in the space of continuous functions

P. P. Zabreĭko

Belarusian State University, Minsk

Abstract: The article deals with multilinear and power integral operators in the space of continuous functions. It is described necessary and sufficient conditions on kernels of integral operators that guarantee the action of these operators in the space of continuous functions, their weak compactness and compactness. It is also shown that the space of these operators with the natural norm is not complete.

UDC: 513.88

Received: 18.10.2012