二重序列空间l_(pq)^-

Double Sequences Spaces l_(pq)^-

讨论0<p,q≤+∞时,二重序列空间lpq 的结构及完备性.证明了,当1≤p,q<+∞时,lpq 是Banach空间;当0<p≤1≤q<+∞时,lpq 是p Banach空间;当0<p,q≤1时,lpq 是h Banach空间(h=pq).

The structure and the completeness of double sequence space l_pq)) are studied. Following results are proved:l_(pq)) is Banach space when 1≤p,q≤+∞;l_(pq)) are p-Banach space when 0<p≤1≤q≤+∞;and l_(pq)) is h-Banach space when 0<p,q≤1.