Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
173 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

The degree of ill-posedness for some composition governed by the Cesaro operator (2401.11411v1)

Published 21 Jan 2024 in math.NA, cs.NA, and math.FA

Abstract: In this article, we consider the singular value asymptotics of compositions of compact linear operators mapping in the real Hilbert space of quadratically integrable functions over the unit interval. Specifically, the composition is given by the compact simple integration operator followed by the non-compact Cesaro operator possessing a non-closed range. We show that the degree of ill-posedness of that composition is two, which means that the Cesaro operator increases the degree of illposedness by the amount of one compared to the simple integration operator.

Citations (5)

Summary

We haven't generated a summary for this paper yet.

X Twitter Logo Streamline Icon: https://streamlinehq.com