Constants of strong uniqueness of minimal projections onto some n-dimensional subspaces of l∞2n(n≥2)

2021 ◽  
Vol 262 ◽  
pp. 105507
Author(s):  
O.M. Martynov
Keyword(s):  
Strong Uniqueness ◽  
Minimal Projections

scholarly journals On the strong uniqueness of minimal projections in the space $l_\\infty^9$

2020 ◽  
pp. 28-42
Author(s):  
Олег Михайлович Мартынов
Keyword(s):  
Strong Uniqueness ◽  
Minimal Projection ◽  
Maximum Value ◽  
Minimal Projections ◽  
Unit Norm

В работе рассматриваются минимальные проекции пространства $l_\\infty^9$ на некоторые подпространства коразмерности 3. Для них найдены относительные прекционные константы, а в случае минимальной проекции с единичной нормой найдено максимальной значение константы сильной единственности. Найденые проекционные константы могут найти применение в вычислительной математике, в частности, для оценки сходимости проекционных методов решения операторных уравнений и в оценках ошибки алгоритма Ремеза. In this paper we consider minimal projections of the space $l_\\infty^9$ on some subspaces of codimension 3. Relative projection constants are found for them, and in the case of a minimal projection with a unit norm, we find maximum value of the strong uniqueness constant.

Further investigations on Fujimoto type strong uniqueness polynomials

Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5203-5216
Author(s):  
Abhijit Banerjee ◽  
Bikash Chakraborty ◽  
Sanjay Mallick
Keyword(s):  
Meromorphic Functions ◽  
Future Research ◽  
Strong Uniqueness ◽  
Open Questions

Taking the question posed by the first author in [1] into background, we further exhaust-ably investigate existing Fujimoto type Strong Uniqueness Polynomial for Meromorphic functions (SUPM). We also introduce a new kind of SUPM named Restricted SUPM and exhibit some results which will give us a new direction to discuss the characteristics of a SUPM. Moreover, throughout the paper, we pose a number of open questions for future research.

The prevalence of strong uniqueness inL 1

1988 ◽  
Vol 52 (1-2) ◽  
pp. 83-90
Author(s):  
J. R. Angelos ◽  
D. Schmidt
Keyword(s):  
Strong Uniqueness

scholarly journals Weak–strong uniqueness property for models of compressible viscous fluids near vacuum*

Nonlinearity ◽  
2021 ◽  
Vol 34 (9) ◽  
pp. 6627-6650
Author(s):  
Eduard Feireisl ◽  
Antonín Novotný
Keyword(s):  
Viscous Fluids ◽  
Strong Uniqueness ◽  
Uniqueness Property
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