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    BISHOP, Errett (1928-1983):

    Edité par Singapore & Philadelphia: World Scientific, 1986., 1986

    ISBN 10 : 9971501279ISBN 13 : 9789971501273

    Vendeur : Ted Kottler, Bookseller, Redondo Beach, CA, Etats-Unis

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    Ancien ou d'occasion - Couverture rigide
    Etat : Near Fine

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    Hardcover. Etat : Near Fine. Etat de la jaquette : Near Fine. 1st Edition. Frontispiece, xxiv, 1, 414 pp. Original cloth, large 8vo. Some creasing to the cloth on the spine, else Near Fine, in near fine dust jacket. Reprints 30 papers. 'Bishop's work is so wide ranging that it is difficult to give an overview in a biography such as this. Let us look at the book Selected papers which was published in 1986 and reprints some of Bishop's most significant contributions. The book divided Bishop's papers into five categories: (1) Polynomial and rational approximation. Examples are extensions of Mergelyan's approximation theorem and the theorem of Frigyes Riesz and Marcel Riesz concerning measures on the unit circle orthogonal to polynomials. Bishop found new methods in dealing with these problems; (2) The general theory of function algebras. Here Bishop worked on uniform algebras (commutative Banach algebras with unit whose norms are the spectral norms) proving results such as antisymmetric decomposition of a uniform algebra, the Bishop-DeLeeuw theorem, and the proof of existence of Jensen measures. In 1965 Bishop wrote an excellent survey Uniform algebras examining the interaction between the theory of uniform algebras and that of several complex variables. (3) Banach spaces and operator theory. An examples of a paper by Bishop on this topic is Spectral theory for operators on a Banach space (1957). He introduced the condition now called the Bishop condition which turned out to be very useful in the theory of decomposable operators. (4) Several complex variables. Examples of Bishop's papers in this area are Analyticity in certain Banach spaces (1962). He proved important results in this area such as the biholomorphic embedding theorem for a Stein manifold as a closed submanifold in Cn, and a new proof of Remmert's proper mapping theorem. (5) Constructive mathematics. Bishop become interested in foundational issues around 1964, about the time he was at the Miller Institute. He wrote a famous text Foundations of constructive analysis (1967) which aimed to show that a constructive treatment of analysis is feasible' (MacTutor History of Mathematics Web site).