On convergence preserving transformations of infinite series

Pavel Kostyrko

Mathematica Slovaca (1996)

  • Volume: 46, Issue: 2-3, page 239-243
  • ISSN: 0139-9918

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Kostyrko, Pavel. "On convergence preserving transformations of infinite series." Mathematica Slovaca 46.2-3 (1996): 239-243. <http://eudml.org/doc/34432>.

@article{Kostyrko1996,
author = {Kostyrko, Pavel},
journal = {Mathematica Slovaca},
keywords = {Banach space; convergence preserving transformation; continuous additive function},
language = {eng},
number = {2-3},
pages = {239-243},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On convergence preserving transformations of infinite series},
url = {http://eudml.org/doc/34432},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Kostyrko, Pavel
TI - On convergence preserving transformations of infinite series
JO - Mathematica Slovaca
PY - 1996
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 46
IS - 2-3
SP - 239
EP - 243
LA - eng
KW - Banach space; convergence preserving transformation; continuous additive function
UR - http://eudml.org/doc/34432
ER -

References

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  1. RADO R., A theorem of infìnite series, J. London Math. Soc. XXXV (1960), 273-276. (1960) MR0145321
  2. ŠALÁT T., Infinite Series, (Slovak), Academia, Praha, 1974. (1974) 
  3. SHILOV G. E., Mathematical Analysis, Functions of a single variaЫe. Part 3 (Russian), Nauka, Moskva, 1970. (1970) MR0311439
  4. SMITH A., Convergence preserving functions: an alternative discussion, Amer. Math. Monthly 96 (1991), 831-833. (1991) Zbl0783.40002MR1133000
  5. KUCZMA M., An Introduction to the Theory of Functional Equations and Inequalities, PWN, Warszawa-Kraków-Katowice, 1985. (1985) Zbl0555.39004MR0788497
  6. WILDENBERG G., Convergence preserving functions, Amer. Math. Monthly 95 (1988), 542-544. (1988) Zbl0664.40001MR0945022

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