Francis Joseph Murray | |
---|---|

Born | |

Died | March 15, 1996 | (aged 85)

Nationality | American |

Alma mater | Columbia University |

Scientific career | |

Fields | Mathematics |

Institutions | Columbia University Duke University |

Doctoral advisor | Bernard Koopman |

Doctoral students | Robert Schatten Ernst G. Straus |

**Francis Joseph Murray** (February 3, 1911 – March 15, 1996) was a mathematician, known for his foundational work (with John von Neumann) on functional analysis, and what subsequently became known as von Neumann algebras. He received his PhD from Columbia University in 1936. He taught at Duke University.

In 1967 he was awarded the Outstanding Civilian Service Medal by the U. S. Army.

## Selected publications

- 1936 (with J. von Neumann), "On rings of operators,"
*Ann. of Math*. 2(37): 116–229. The original paper on von Neumann algebras. - 1937 (with J. von Neumann), "On rings of operators II,"
*Trans. Amer. Math. Soc*. 41: 208–248. - 1943 (with J. von Neumann), "On rings of operators IV,"
*Ann. of Math*. 2(44): 716–808. - 1941.
*An Introduction to Linear Transformations in Hilbert Space*. Annals of Mathematics Studies, no. 4. Princeton Univ. Press.^{[1]} - 1947.
*The theory of mathematical machines*. Columbia Univ. Press.^{[2]} - 1954. (with Kenneth S. Miller).
*Existence Theorems for Ordinary Differential Equations*.^{[3]}ISBN 0-88275-320-7; 2nd printing Krieger 1976; reprint Dover 2013. - 1978.
*Applied Mathematics: An Intellectual Orientation*. ISBN 0-306-39252-6^{[4]}

## References

**^**Halmos, P. R. (1942). "Review:*An introduction to linear transformations in Hilbert space*, by F. J. Murray" (PDF).*Bull. Amer. Math. Soc*.**48**(3): 204–205. doi:10.1090/s0002-9904-1942-07644-0. CS1 maint: discouraged parameter (link)**^**Goldstine, H. H. (1947). "Review:*The theory of matheamatical machines*, by F. J. Murray" (PDF).*Bull. Amer. Math. Soc*.**53**(9): 893–895. doi:10.1090/s0002-9904-1947-08889-3. CS1 maint: discouraged parameter (link)**^**Reid, W. T. (1955). "Review:*Existence theorems for ordinary differential equations*, by F. J. Murray and K. S. Miller" (PDF).*Bull. Amer. Math. Soc*.**61**(4): 353–355. doi:10.1090/s0002-9904-1955-09942-7.**^**Hafner, Everett (1980). "Review:*Applied mathematics: An intellectual orientation*, by F. J. Murray" (PDF).*Bull. Amer. Math. Soc. (N.S.)*.**3**(1, Part 1): 735–739. doi:10.1090/s0273-0979-1980-14808-9.

- A brief obituary.
- Francis Joseph Murray at the Mathematics Genealogy Project
*Retirement of Francis Joseph Murray*. Duke Math. J. 47 (1980), no. 4, 983–985.