Geodesic
Minimal projective operators
Mathematica Applicanda, Tome 7 (1979) no. 15, pp. 25-46.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

The author reviews results (without proofs) from the theory of minimal projective operators. As he remarks, an excellent introduction to this theory is the survey paper by E. W. Cheney and K. H. Price [Approximation theory (Proc. Sympos., Lancaster, 1969), pp. 261–289, Academic Press, London, 1970; MR0265842]. The author is motivated by a number of papers in this topic published after 1970, bringing essentially new results, e.g., an existence theorem for the minimal operators in the class of all projective operators from a linear normed space onto its subspace due to P. D. Morris and Cheney [J. Reine Angew. Math. 270 (1974), 61–76; MR0358188]. The paper consists of the following chapters: (0) Introduction; (1) Projective operators; (2) Fundamental properties of minimal projective operators; (3) Existence and characterization of minimal projective operators; (4) Some polynomial projective operators in the space C[−1,1]; References (45 items).
DOI : 10.14708/ma.v7i15.1477
Classification : 41A65
Mots-clés : Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) 
@article{10_14708_ma_v7i15_1477,
     author = {Stanis{\l}aw Lewanowicz},
     title = {Minimal projective operators},
     journal = {Mathematica Applicanda},
     pages = { 25--46},
     publisher = {mathdoc},
     volume = {7},
     number = {15},
     year = {1979},
     doi = {10.14708/ma.v7i15.1477},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/ma.v7i15.1477/}
}
TY  - JOUR
AU  - Stanisław Lewanowicz
TI  - Minimal projective operators
JO  - Mathematica Applicanda
PY  - 1979
SP  -  25
EP  - 46
VL  - 7
IS  - 15
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14708/ma.v7i15.1477/
DO  - 10.14708/ma.v7i15.1477
LA  - pl
ID  - 10_14708_ma_v7i15_1477
ER  - 
%0 Journal Article
%A Stanisław Lewanowicz
%T Minimal projective operators
%J Mathematica Applicanda
%D 1979
%P  25-46
%V 7
%N 15
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14708/ma.v7i15.1477/
%R 10.14708/ma.v7i15.1477
%G pl
%F 10_14708_ma_v7i15_1477
Stanisław Lewanowicz. Minimal projective operators. Mathematica Applicanda, Tome 7 (1979) no. 15, pp.  25-46. doi : 10.14708/ma.v7i15.1477. http://geodesic.mathdoc.fr/articles/10.14708/ma.v7i15.1477/

Cité par Sources :