A selection of the mathematical writings of Paul R. Halmos (1916 - 2006) is presented in two Volumes. Volume I consists of research publications plus two papers of a more expository nature on Hilbert Space. The remaining expository articles and all the popular writings appear in the second volume. The papers in this first volume are arranged chronologically - those published before 1950 deal with probability and measure theory, while those after 1950 concern operator theory.
A selection of the mathematical writings of Paul R. Halmos (1916 - 2006) is presented in two Volumes. Volume I consists of research publications plus two papers of a more expository nature on Hilbert Space. The remaining expository articles and all the popular writings appear in the second volume. The papers in this first volume are arranged chronologically - those published before 1950 deal with probability and measure theory, while those after 1950 concern operator theory.
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Inhaltsangabe
[1939 a] Invariants of certain stochastic transformations: the mathematical theory of gambling systems.- [1942 d] On monothetic groups.- [1942 e] Operator methods in classical mechanics, II.- [1943] On automorphisms of compact groups.- [1944 a] Approximation theories for measure preserving transformations.- [1944 d] In general a measure preserving transformation is mixing.- [1947 c] Invariant measures.- [1949 b] Application of the Radon-Nikodym theorem to the theory of sufficient statistics.- [1950 a] Normal dilations and extensions of operators.- [1950 b] Commutativity and spectral properties of normal operators.- [1950 c] The marriage problem.- [1952 a] Spectra and spectral manifolds.- [1952 b] Commutators of operators.- [1953 a] Square roots of operators.- [1954 a] Commutators of operators, II.- [1958 b] Products of symmetries.- [1961 c] Shifts on Hilbert spaces.- [1963 c] Partial isometries.- [1963 d] Algebraic properties of Toeplitz operators.- [1964 a] Numerical ranges and normal dilations.- [1965 b] Cesàro operators.- [1966] Invariant subspaces of polynomially compact operators.- [1968 b] Irreducible operators.- [1968 c] Quasitriangular operators.- [1969 a] Invariant subspaces 1969.- [1969 b] Two subspaces.- [1970 d] Ten problems in Hilbert space.- [1971 a] Capacity in Banach algebras.- [1972 a] Continuous functions of Hermitian operators.- [1972 b] Positive approximants of operators.- [1972 c] Products of shifts.- [1973 b] Limits of shifts.- [1974 a] Spectral approximants of normal operators.- [1976 c] Some unsolved problems of unknown depth about operators on Hilbert space.- [1979 b] Ten years in Hilbert space.- [1980 a] Limsups of Lats.- [1982 d] Asymptotic Toeplitz operators.
[1939 a] Invariants of certain stochastic transformations: the mathematical theory of gambling systems.- [1942 d] On monothetic groups.- [1942 e] Operator methods in classical mechanics, II.- [1943] On automorphisms of compact groups.- [1944 a] Approximation theories for measure preserving transformations.- [1944 d] In general a measure preserving transformation is mixing.- [1947 c] Invariant measures.- [1949 b] Application of the Radon-Nikodym theorem to the theory of sufficient statistics.- [1950 a] Normal dilations and extensions of operators.- [1950 b] Commutativity and spectral properties of normal operators.- [1950 c] The marriage problem.- [1952 a] Spectra and spectral manifolds.- [1952 b] Commutators of operators.- [1953 a] Square roots of operators.- [1954 a] Commutators of operators, II.- [1958 b] Products of symmetries.- [1961 c] Shifts on Hilbert spaces.- [1963 c] Partial isometries.- [1963 d] Algebraic properties of Toeplitz operators.- [1964 a] Numerical ranges and normal dilations.- [1965 b] Cesàro operators.- [1966] Invariant subspaces of polynomially compact operators.- [1968 b] Irreducible operators.- [1968 c] Quasitriangular operators.- [1969 a] Invariant subspaces 1969.- [1969 b] Two subspaces.- [1970 d] Ten problems in Hilbert space.- [1971 a] Capacity in Banach algebras.- [1972 a] Continuous functions of Hermitian operators.- [1972 b] Positive approximants of operators.- [1972 c] Products of shifts.- [1973 b] Limits of shifts.- [1974 a] Spectral approximants of normal operators.- [1976 c] Some unsolved problems of unknown depth about operators on Hilbert space.- [1979 b] Ten years in Hilbert space.- [1980 a] Limsups of Lats.- [1982 d] Asymptotic Toeplitz operators.
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