Copies of l∞ in an operator space
1990 ◽
Vol 108
(3)
◽
pp. 523-526
◽
Keyword(s):
Let X and Y be Banach spaces. Then Kw*(X*, Y) denotes the Banach space of compact and weak*-weakly continuous linear operators from X* into Y, endowed with the usual operator norm. Let us write E⊃l∞ to indicate that a Banach space E contains an isomorphic copy of l∞. The purpose of this note is to prove the followingTheorem. Kw*(X*, Y) ⊃ l∞if and only if either X ⊃ l∞or Y ⊃ l∞.
1981 ◽
Vol 89
(1)
◽
pp. 129-133
◽
1988 ◽
Vol 30
(2)
◽
pp. 145-153
◽
1982 ◽
Vol 25
(1)
◽
pp. 49-54
◽
Automatic Continuity for Linear Functions Intertwining Continuous Linear Operators on Frechet Spaces
1978 ◽
Vol 30
(03)
◽
pp. 518-530
◽
2002 ◽
Vol 31
(7)
◽
pp. 421-442
◽
2019 ◽
Vol 29
(14)
◽
pp. 1950201
◽
1992 ◽
Vol 111
(1)
◽
pp. 143-150
◽
Keyword(s):