Interpolation of compact operators by the methods of Calderón and Gustavsson–Peetre
1995 ◽
Vol 38
(2)
◽
pp. 261-276
◽
Let X = (X0, X1) and Y = (Y0, Y1) be Banach couples and suppose T:X→Y is a linear operator such that T:X0→Y0 is compact. We consider the question whether the operator T:[X0, X1]θ→[Y0, Y1]θ is compact and show a positive answer under a variety of conditions. For example it suffices that X0 be a UMD-space or that X0 is reflexive and there is a Banach space so that X0 = [W, X1]α, for some 0<α<1.
Keyword(s):
2011 ◽
Vol 54
(3)
◽
pp. 411-421
◽
Keyword(s):
1969 ◽
Vol 22
(3)
◽
pp. 667-667
1991 ◽
Vol 14
(3)
◽
pp. 611-614
◽
1986 ◽
Vol 9
(3)
◽
pp. 583-587
Keyword(s):
Keyword(s):
Keyword(s):