Full paper in PDF format:
$%I. Asekritova and N. Kruglyak, Invertibility of operators
in spaces of real interpolation, Rev. Mat. Complut. 21 (2008), no. 1, 207–217.%$
The School of Mathematics and Systems Engineering Växjö University SE-351 95, Växjö — Sweden irina.asekritova@msi.vxu.se | Department of Mathematics Luleå University of Technology SE-971 87, Luleå — Sweden natan@ltu.se |
ABSTRACT
Let 
be a linear bounded operator from a couple 
to a
couple 
such that the restrictions of 
on the spaces 
and
have bounded inverses. This condition does not imply that the restriction
of 
on the real interpolation space 
has a bounded inverse for
all values of the parameters 
and 
. In this paper under some conditions
on the kernel of 
we describe all spaces 
such that the operator
has a bounded inverse.
Key words: real interpolation, invertible operators.
2000 Mathematics Subject Classification: Primary 46B70, Secondary 46M35.