On the convergence of the polynomials P n ( T )

Idris Assani; Radko Mesiar

Mathematica Slovaca (1986)

  • Volume: 36, Issue: 2, page 111-118
  • ISSN: 0139-9918

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Assani, Idris, and Mesiar, Radko. "Sur la convergence de polynômes $P_n(T)$." Mathematica Slovaca 36.2 (1986): 111-118. <http://eudml.org/doc/34233>.

@article{Assani1986,
author = {Assani, Idris, Mesiar, Radko},
journal = {Mathematica Slovaca},
keywords = {weak-convergence criterion for a sequence of polynomials; positive operator on a Banach lattice; norm-unbounded Cesaro averages},
language = {fre},
number = {2},
pages = {111-118},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Sur la convergence de polynômes $P_n(T)$},
url = {http://eudml.org/doc/34233},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Assani, Idris
AU - Mesiar, Radko
TI - Sur la convergence de polynômes $P_n(T)$
JO - Mathematica Slovaca
PY - 1986
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 36
IS - 2
SP - 111
EP - 118
LA - fre
KW - weak-convergence criterion for a sequence of polynomials; positive operator on a Banach lattice; norm-unbounded Cesaro averages
UR - http://eudml.org/doc/34233
ER -

References

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  1. J. LINDENSTRAUSS L. TZAFRIRI, Classical Banach Spaces, Tome 2, 1979, Springer-Verlag. (1979) MR0415253
  2. H. HEINICH, Convergence en moyenne d'un opérateur positif, C. R. Acad. Sci. Paris, 297, Serie I, N 4, 1983, 237-240. (1983) MR0727178
  3. C. RYLL-NARDZEWSKI, On the ergodic theorems I, Studia Math., 12, 1951, 65-73. (1951) Zbl0044.12302MR0046582
  4. А. IONESCU-TULCEA, Ergodic properties of isometries in L p spaces, p < , Bull. Amer. Math. Soc., 70, 1964, 366-371. (1964) MR0206207
  5. N. DUNFORD J. T. SCHWARTZ, Linear Operators, Part I, 1958, Interscience, New-York. (1958) 

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