On well-bounded operators of class Г
Keyword(s):
Let T be a linear operator acting in a Banach space X. It has been shown by Smart [5] and Ringrose [3] that, if X is reflexive, then T is well-bounded if and only if it may be expressed in the formwhere {E(λ)} is a suitable family of projections in X and the integral exists as the strong limit of Riemann sums.
1978 ◽
Vol 21
(1)
◽
pp. 17-23
◽
Keyword(s):
1997 ◽
Vol 56
(2)
◽
pp. 303-318
◽
Keyword(s):
1969 ◽
Vol 10
(1)
◽
pp. 73-76
◽
1981 ◽
Vol 90
(2)
◽
pp. 259-264
◽
Keyword(s):
2019 ◽
Vol 99
(2)
◽
pp. 274-283
Keyword(s):
1968 ◽
Vol 8
(1)
◽
pp. 119-127
◽
1981 ◽
Vol 22
(1)
◽
pp. 77-81
◽
Keyword(s):