Global ETD Search

1	Compact Operators of Sequence Spaces Wang, Wei-Hong 19 June 2001 (has links) In this thesis, we study weighted composition operatorsT(xn)=(£fnX£m(n)) between sequence spaces(c0,c,l1,lp), and more precisely, the sufficient and necessary condition that they are compact. First,we obtain some results of weighted composition operators beingcompact, weakly compact and completely continuous on c0 spaces. Then, we extend then to c,l1,and lp(1<p<¡Û) spaces. Finally, we obtain the condition that an operator from c0, c or lp into c0, c, or lq is compact, weakly compact or completely continuous. completely continuous operators sequence spaces weakly compact operators compact operators
2	On Certain Classes and Ideals of Operators on L<sub>1</sub> Riel, Zachariah Charles 22 November 2016 (has links) No description available. Mathematics Functional analysis operators on Lebesgue spaces vector measures compact operators completely continuous operators strictly singular operators nuclear operators absolutely summing operators representable operators isometries