RT Journal Article
T1 Interpolation of closed subspaces and invertibility of operators
A1 Asekritova, I.
A1 Cobos Díaz, Fernando
A1 Kruglyak, N.
AB Let (Y0, Y1) be a Banach couple and let Xj be a closed complemented subspace of Yj ; (j = 0; 1). We present several results for the general problem of finding necessary and sufficient conditions on the parameters (θ, q) such that the real interpolation space (X0, X1)θ, q is a closed subspace of (Y0, Y1)θ, q : In particular, we establish conditions which are necessary and sufficient for the equality (X0, X1)θ, q =(Y0, Y1)θ, q, with the proof based on a previous result by Asekritova and Kruglyak on invertibility of operators. We also generalize the theorem by Ivanov and Kalton where this problem was solved under several rather restrictive conditions, such as that X1 = Y1 and X0 is a subspace of codimension one in Y0
PB Heldermann Verlag
SN 0232-2064
YR 2015
FD 2015
LK https://hdl.handle.net/20.500.14352/34652
UL https://hdl.handle.net/20.500.14352/34652
DS Docta Complutense
RD 17 abr 2025