Compact and strictly singular operators on certain function spaces

1984 ◽  
Vol 43 (1) ◽  
pp. 66-78 ◽  
Author(s):  
N. J. Kalton
Keyword(s):  
Function Spaces ◽  
Singular Operators ◽  
Strictly Singular

Disjointly strictly singular operators and interpolation

1996 ◽  
Vol 126 (5) ◽  
pp. 1011-1026 ◽  
Author(s):  
A. García del Amo ◽  
F. L. Hernández ◽  
C. Ruiz
Keyword(s):  
Lattice Structure ◽  
Orlicz Function ◽  
Invariant Function ◽  
Function Spaces ◽  
Banach Lattices ◽  
Singular Operators ◽  
Rearrangement Invariant Function Spaces ◽  
Strictly Singular

Interpolation properties of the class of disjointly strictly singular operators on Banach lattices are studied. We also give some applications to compare the lattice structure of two rearrangement invariant function spaces. In particular, we obtain suitable analytic characterisations of when the inclusion map between two Orlicz function spaces is disjointly strictly singular.

scholarly journals A class of Banach spaces with few non-strictly singular operators

2005 ◽  
Vol 222 (2) ◽  
pp. 306-384 ◽  
Author(s):  
S.A. Argyros ◽  
J. Lopez-Abad ◽  
S. Todorcevic
Keyword(s):  
Banach Spaces ◽  
Singular Operators ◽  
Strictly Singular

Domination by Positive Strictly Singular Operators

2002 ◽  
Vol 66 (2) ◽  
pp. 433-452 ◽  
Author(s):  
Julio Flores ◽  
Francisco L. Hernández
Keyword(s):  
Singular Operators ◽  
Strictly Singular
Sign in / Sign up

Export Citation Format

Share Document