Bounds for Entropy Numbers of Some Critical Operators

Details Bounds for Entropy Numbers of Some Critical Operators Bounds for Entropy Numbers of Some Critical Operators

2010-02-06

arxiv.org/abs/1002.1377v2

Mathematics

Functional Analysis

In the second version, the exposition is smoother and the regular case is included for completeness.

Scientific paper

We provide upper bounds for entropy numbers for two types of operators:
summation operators on binary trees and integral operators of Volterra type.
Our efforts are concentrated on the critical cases where none of known methods
works. Therefore, we develop a method which seems to be completely new and
probably merits further applications.

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