scholarly journals On the Base Problem for a Compact Integral Operator

1967 ◽  
Vol 17 (3) ◽  
pp. 217-223
Author(s):  
Alexander Weinstein
Keyword(s):  
Integral Operator ◽  
Compact Integral Operator

Spectral inequalities for compact integral operators on Banach function spaces

1992 ◽  
Vol 112 (3) ◽  
pp. 589-598 ◽  
Author(s):  
Roman Drnovšek
Keyword(s):  
Integral Operator ◽  
Spectral Radius ◽  
Geometric Mean ◽  
Integral Operators ◽  
Function Spaces ◽  
Banach Function Spaces ◽  
Compact Integral Operator

AbstractThis article generalizes some spectral inequalities for non-negative matrices (see [2] and [3]) to compact integral operators with non-negative kernels defined on Banach function spaces. The spectral radius of a sum of such operators is estimated under certain conditions and a generalization of this inequality is given. An inequality for the spectral radius of a compact integral operator with the kernel equal to a weighted geometric mean of non-negative kernels is also proved.

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