Constants of strong uniqueness of minimal norm-one projections

A. Micek

Banach Center Publications (2011)

  • Volume: 92, Issue: 1, page 265-277
  • ISSN: 0137-6934

Abstract

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In this paper we calculate the constants of strong uniqueness of minimal norm-one projections on subspaces of codimension k in the space l ∞ ( n ) . This generalizes a main result of W. Odyniec and M. P. Prophet [J. Approx. Theory 145 (2007), 111-121]. We applied in our proof Kolmogorov’s type theorem (see A. Wójcik [Approximation and Function Spaces (Gdańsk, 1979), PWN, Warszawa / North-Holland, Amsterdam, 1981, 854-866]) for strongly unique best approximation.

How to cite

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A. Micek. "Constants of strong uniqueness of minimal norm-one projections." Banach Center Publications 92.1 (2011): 265-277. <http://eudml.org/doc/286386>.

@article{A2011,
abstract = {In this paper we calculate the constants of strong uniqueness of minimal norm-one projections on subspaces of codimension k in the space $l^\{(n)\}_\{∞\}$. This generalizes a main result of W. Odyniec and M. P. Prophet [J. Approx. Theory 145 (2007), 111-121]. We applied in our proof Kolmogorov’s type theorem (see A. Wójcik [Approximation and Function Spaces (Gdańsk, 1979), PWN, Warszawa / North-Holland, Amsterdam, 1981, 854-866]) for strongly unique best approximation.},
author = {A. Micek},
journal = {Banach Center Publications},
keywords = {minimal projection; strong unicity; strongly unique minimal projection constant; SUP-constant},
language = {eng},
number = {1},
pages = {265-277},
title = {Constants of strong uniqueness of minimal norm-one projections},
url = {http://eudml.org/doc/286386},
volume = {92},
year = {2011},
}

TY - JOUR
AU - A. Micek
TI - Constants of strong uniqueness of minimal norm-one projections
JO - Banach Center Publications
PY - 2011
VL - 92
IS - 1
SP - 265
EP - 277
AB - In this paper we calculate the constants of strong uniqueness of minimal norm-one projections on subspaces of codimension k in the space $l^{(n)}_{∞}$. This generalizes a main result of W. Odyniec and M. P. Prophet [J. Approx. Theory 145 (2007), 111-121]. We applied in our proof Kolmogorov’s type theorem (see A. Wójcik [Approximation and Function Spaces (Gdańsk, 1979), PWN, Warszawa / North-Holland, Amsterdam, 1981, 854-866]) for strongly unique best approximation.
LA - eng
KW - minimal projection; strong unicity; strongly unique minimal projection constant; SUP-constant
UR - http://eudml.org/doc/286386
ER -

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