Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

About Some Constants of Strong Unicity

Author(s):

Vadim Vladimirovich Lokot'

PhD in phisics and mathematics
Assoc.Professor
Dept. of mathematics, physics and information technology
Murmansk Arctic State University
Kapitan Egorov Str., 15,
Murmansk, 183038, Russia

natalyalokot@yandex.ru

Oleg Mikhailovich Martynov

PhD in phisics and mathematics
Assoc.Professor
Dept. of mathematics, physics and information technology
Murmansk Arctic State University
Kapitan Egorov Str., 15,
Murmansk, 183038, Russia

olegmartynov@yandex.ru

Abstract:

In this paper we find constants of strong unicity for minimal norm-one projections in some finite-dimensional space and also we find constants of strong unicity for projections onto subspace formed by Walsh's functions in the space of all bounded on [0,1] functions or the space of all integrable on [0,1] functions.

Keywords

• constants of strong unicity
• projection
• space
• subspace
• the relative projection constant
• Walsh's functions

References:

1. Blatter J., Cheney E. W., Minimal projections on hyperplanes in sequence spaces. Ann. math. pura et appl., 101 (1974), p. 215-227
2. Walsh J. L. A closed set of normal orthogonal functions // Amer. J. Math., 45, 1923, P. 5-24
3. Lokot’ V., Martynov O. Operatory proektirovaniya v konechnomernyx prostranstvah. - Saarbrü cken: LAMBERT Academic Publishing, 2016. - 245 с

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