Minimal projective operators

• Autorzy: Stanisław Lewanowicz
• Języki publikacji: EN

Abstrakty

EN

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).

PL

MR0549984

Słowa kluczowe

EN

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)

• Wydawca: Polish Mathematical Society
• Czasopismo: Mathematica Applicanda
• Rocznik: 1979
• Tom: 7
• Numer: 15

Daty

wydano

1979

online

1979-09-01

Twórcy

autor

Stanisław Lewanowicz

Identyfikatory

DOI

10.14708/ma.v7i15.1477