Mahlon Marsh Day
1913-1992
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Physics
Mahlon Marsh Day's Degrees
- PhD Physics University of California, Berkeley
- Bachelors Physics University of California, Berkeley
Why Is Mahlon Marsh Day Influential?
(Suggest an Edit or Addition)According to Wikipedia, Mahlon Marsh Day was an American mathematician, who specialized in functional analysis, geometry of linear spaces and amenable semigroups. Career In 1939 he graduated from Brown University. He became a member of the Institute for Advanced Study in the years 1939-40 and later in 1948–49. In most of his career, between the years 1940–83, he was a professor of mathematics in University of Illinois at Urbana-Champaign. In June 1983, a conference named "the Geometry of Normed Linear Spaces" was held in honor of Day at the University of Illinois at Urbana-Champaign. A proceedings issue to the conference was published in Contemporary Mathematics. In the preface for this proceedings issue, Day was described as "the first American mathematician to study normed spaces from a geometric standpoint". His monograph "Normed Linear Spaces" from 1973 is highly cited and considered to be classical in the field. In the field of amenable semigroups, his work under this name, is highly cited and considered fundamental to the field. He served as an editor of Illinois Journal of Mathematics in the years 1968-73 and 1981–85.
Mahlon Marsh Day's Published Works
Published Works
- Normed Linear Spaces (1960) (815)
- Some characterizations of inner-product spaces (1947) (166)
- Fixed-point theorems for compact convex sets (1961) (129)
- Means for the bounded functions and ergodicity of the bounded representations of semi-groups (1950) (105)
- Uniform Convexity in Factor and Conjugate Spaces (1944) (102)
- Strict convexity and smoothness of normed spaces (1955) (101)
- Some more uniformly convex spaces (1941) (98)
- Reflexive Banach spaces not isomorphic to uniformly convex spaces (1941) (88)
- The spaces $L^p$ with $0 < P < 1$ (1940) (87)
- Normed Linear Spaces that are Uniformly Convex in Every Direction (1971) (81)
- Review: I. P. Natanson, Theory of functions of a real variable (1956) (54)
- Convolutions, means, and spectra (1964) (50)
- Polygons circumscribed about closed convex curves (1947) (36)
- On the basis problem in normed spaces (1962) (35)
- Convergence, closure and neighborhoods (1944) (33)
- Correction to my paper “Fixed-point theorems for compact convex sets” (1964) (30)
- Lumpy subsets in left-amenable locally compact semigroups (1976) (30)
- Ergodic theorems for Abelian semigroups (1942) (30)
- Uniform convexity. III (1943) (27)
- Arithmetic of ordered systems (1945) (25)
- On criteria of Kasahara and Blumenthal for inner-product spaces (1959) (17)
- Left thick to left lumpy—a guided tour (1982) (15)
- Every $l$-space is isomorphic to a strictly convex space (1957) (10)
- A property of Banach spaces (1941) (9)
- Review: Jacques Bair and René Fourneau, Etude géométrique des espaces vectoriels, une introduction (1977) (7)
- Amenability and equicontinuity (1968) (5)
- Regularity of function-to-function transformations (1939) (3)
- Operation in Banach spaces (1942) (2)
- A geometric proof of Asplund’s differentiability theorem (1972) (2)
- A geometric variant of Badé’s theorem on dominating measures (1981) (2)
- Compact Convex Sets and Continuous Function Spaces (1958) (1)
- Operations in Banach Spaces (1942) (1)
- Review: J. F. Berglund, H. D. Junghenn and P. Milnes, Compact right topological semigroups and generalizations of almost periodicity (1980) (1)
- Comments on notes of Stanojević et al (1981) (1)
- Geometry of normed linear spaces : proceedings of a conference held June 9-12, 1983, in honor of Mahlon Marsh Day (1986) (0)
- Norm and Order (1962) (0)
- Review: H. L. Hamburger and M. E. Grimshaw, Linear transformations in $n$-dimensional vector space. An introduction to the theory of Hilbert space (1953) (0)
- Review: Robert Schatten, A theory of cross-spaces (1951) (0)
- Completeness, Compactness, and Reflexivity (1962) (0)
- Mimicry in normed spaces (1975) (0)
- Cluster points of subsequences (1944) (0)
- Unconditional Convergence and Bases (1958) (0)
- Metric Geometry in Normed Spaces (1962) (0)
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