Interpolation of Operators

2016 ◽  
pp. 313-330
Author(s):  
René Erlín Castillo ◽  
Humberto Rafeiro
Keyword(s):  
Interpolation Of Operators

Coxeter groups and interpolation of operators

1994 ◽  
Vol 18 (3) ◽  
pp. 335-367 ◽  
Author(s):  
Nahum Zobin ◽  
Veronica Zobina
Keyword(s):  
Coxeter Groups ◽  
Interpolation Of Operators

scholarly journals General monotonicity and interpolation of operators

2016 ◽  
Vol 435 (2) ◽  
pp. 1296-1320 ◽  
Author(s):  
Stepan M. Grigoriev ◽  
Yoram Sagher ◽  
Thomas R. Savage
Keyword(s):  
Interpolation Of Operators

scholarly journals Lorentz spaces of vector measures and real interpolation of operators

2019 ◽  
Vol 43 (5-6) ◽  
pp. 591-609
Author(s):  
R. del Campo ◽  
A. Fernández ◽  
F. Mayoral ◽  
F. Naranjo ◽  
E.A. Sánchez Pérez
Keyword(s):  
Lorentz Spaces ◽  
Real Interpolation ◽  
Vector Measures ◽  
Interpolation Of Operators

scholarly journals Measure of weak noncompactness and real interpolation of operators

2000 ◽  
Vol 62 (3) ◽  
pp. 389-401 ◽  
Author(s):  
Andrzej Kryczka ◽  
Stanislaw Prus ◽  
Mariusz Szczepanik
Keyword(s):  
Linear Operators ◽  
Real Interpolation ◽  
Type Result ◽  
Bounded Linear Operators ◽  
Weakly Compact ◽  
Measure Of Weak Noncompactness ◽  
Bounded Linear ◽  
Logarithmic Convexity ◽  
Interpolation Of Operators

A new measure of weak noncompactness is introduced. A logarithmic convexity-type result on the behaviour of this measure applied to bounded linear operators under real interpolation is proved. In particular, it gives a new proof of the theorem showing that if at least one of the operators T: Ai → Bi, i = 0, 1 is weakly compact, then so is T : Aθ,p → Bθ,p for all 0 < θ < 1 and 1 < P < ∞.

Sign in / Sign up

Export Citation Format

Share Document