A Ritt-Kreiss condition: Spectral localization and norm estimates

被引：0

作者：

Mahillo, Alejandro ^{[1
]}

Rueda, Silvia ^{[2
]}

机构：

[1] Univ Zaragoza, Inst Univ Matemat & Aplicac, Dept Matemat, Zaragoza 50009, Spain

[2] Univ Bio Bio, Dept Matemat, Fac Ciencias, Concepcion, Chile

来源：

STUDIA MATHEMATICA | 2024年 / 276卷 / 02期

关键词：

Ritt condition; Kreiss condition; spectral localization; norm estimates; Stolz domain; RESOLVENT CONDITIONS; FUNCTIONAL-CALCULUS; H-INFINITY; OPERATORS; POWERS; BOUNDEDNESS; STABILITY; UNIFORM;

D O I：

10.4064/sm231227-19-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new condition is introduced by generalizing the Ritt and Kreiss operators, named the (alpha, 13)-RK condition. Geometrical properties of the spectrum for 13 < 1 are studied and moreover it is shown that then if alpha +13 = 1 the operator is Ritt. Estimates for the power and power differences norms for this type of operators are also studied. Lastly, we apply this theory to obtain an interpolation result for Ritt and Kreiss operators on Lp spaces.

引用

页数：24

共 21 条

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