On some generalized invariant means and their application to the stability of the Hyers-Ulam type

Roman Badora

Annales Polonici Mathematici (1993)

  • Volume: 58, Issue: 2, page 147-159
  • ISSN: 0066-2216

Abstract

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We present some extension of the concept of an invariant mean to a space of vector-valued mappings defined on a semigroup. Next, we apply it to the study of the stability of some functional equation.

How to cite

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Roman Badora. "On some generalized invariant means and their application to the stability of the Hyers-Ulam type." Annales Polonici Mathematici 58.2 (1993): 147-159. <http://eudml.org/doc/262251>.

@article{RomanBadora1993,
abstract = {We present some extension of the concept of an invariant mean to a space of vector-valued mappings defined on a semigroup. Next, we apply it to the study of the stability of some functional equation.},
author = {Roman Badora},
journal = {Annales Polonici Mathematici},
keywords = {Hyers-Ulam stability theorem; invariant mean; binary intersection property; invariant means; amenable semigroup; Banach space; stability; functional equation},
language = {eng},
number = {2},
pages = {147-159},
title = {On some generalized invariant means and their application to the stability of the Hyers-Ulam type},
url = {http://eudml.org/doc/262251},
volume = {58},
year = {1993},
}

TY - JOUR
AU - Roman Badora
TI - On some generalized invariant means and their application to the stability of the Hyers-Ulam type
JO - Annales Polonici Mathematici
PY - 1993
VL - 58
IS - 2
SP - 147
EP - 159
AB - We present some extension of the concept of an invariant mean to a space of vector-valued mappings defined on a semigroup. Next, we apply it to the study of the stability of some functional equation.
LA - eng
KW - Hyers-Ulam stability theorem; invariant mean; binary intersection property; invariant means; amenable semigroup; Banach space; stability; functional equation
UR - http://eudml.org/doc/262251
ER -

References

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