Minimal projective operators

Stanisław Lewanowicz. "Minimal projective operators." Mathematica Applicanda 7.15 (1979): null. <http://eudml.org/doc/293265>.

@article{StanisławLewanowicz1979,
abstract = {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).},
author = {Stanisław Lewanowicz},
journal = {Mathematica Applicanda},
keywords = {Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)},
language = {eng},
number = {15},
pages = {null},
title = {Minimal projective operators},
url = {http://eudml.org/doc/293265},
volume = {7},
year = {1979},
}

TY - JOUR
AU - Stanisław Lewanowicz
TI - Minimal projective operators
JO - Mathematica Applicanda
PY - 1979
VL - 7
IS - 15
SP - null
AB - 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).
LA - eng
KW - Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
UR - http://eudml.org/doc/293265
ER -