l_(n_m)~p(1<p<∞)空间和l_(n_m~△)~p(1<p<∞)空间及其共轭空间

l_(n_m)~p(1<p<∞) space,l_(n_m~△)~p(1<p<∞) space and their conjugate space

利用复数项级数的snm～rnm+p审敛原理,得到了lnmp(1<p<∞)空间和lnm△p(1<p<∞)空间,并分别讨论了它们的完备性、可分性以及它们的共轭空间.

lnm^p（1〈p〈∞） space and lnm^△^p（1〈p〈∞） space are obtained by means of snm～rnm＋p convergence principle for complex series. Completion, separability and conjugate space of lnm^p（1〈p〈∞） space and lnm^△^p（1〈p〈∞） space are discussed.