Linear operators on Abramovich–Wickstead type spaces

F. Polat

Department of Mathematics, Middle East Technical University, Ankara, TURKEY

Abstract: In this note, we define and investigate Abramovich–Wickstead type spaces the elements of which are the sums of continuous functions and discrete functions. We give an analytic representation of regular and order continuous regular operators on these spaces with values in a Dedekind complete vector lattice.

Key words: $CD_0(K)$-spaces, quasiregular measure, regular operator.

UDC: 517.98

MSC: 54C35, 46E40, 46G10

Received: 02.04.2008

Language: English

Bibliographic databases:

•