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George Mackey information


George Mackey
BornFebruary 1, 1916
St. Louis, Missouri, U.S.
DiedMarch 15, 2006 (2006-03-16) (aged 90)
Belmont, Massachusetts, U.S.
EducationRice University (BA)
Harvard University (PhD)
Known forLocally convex spaces
Mackey theory
Quantum logic
Mackey topology
Mackey space
Mackey–Arens theorem
Mackey–Borel structure
AwardsLeroy P. Steele Prize (1975)
Scientific career
FieldsMathematical analysis
InstitutionsHarvard University
Thesis The Subspaces of the Conjugate of an Abstract Linear Space  (1942)
Doctoral advisorMarshall H. Stone
Doctoral studentsJohn V. Breakwell
Lawrence G. Brown
Paul Chernoff
Edward G. Effros
Calvin C. Moore
Richard Palais
Caroline Series
John Wermer
Robert Zimmer
Other notable studentsAndrew M. Gleason

George Whitelaw Mackey (February 1, 1916 – March 15, 2006) was an American mathematician known for his contributions to quantum logic, representation theory, and noncommutative geometry.

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George Mackey

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George Whitelaw Mackey (February 1, 1916 – March 15, 2006) was an American mathematician known for his contributions to quantum logic, representation theory...

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Mackey space

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the continuous dual. They are named after George Mackey. Examples of locally convex spaces that are Mackey spaces include: All barrelled spaces and more...

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Mackey topology

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functional analysis and related areas of mathematics, the Mackey topology, named after George Mackey, is the finest topology for a topological vector space...

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Bornological space

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bounded linear operator. Bornological spaces were first studied by George Mackey.[citation needed] The name was coined by Bourbaki[citation needed] after...

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Random variable

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random quantities instead being called random elements. According to George Mackey, Pafnuty Chebyshev was the first person "to think systematically in...

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Unitary representation

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rather than just for particular groups useful in applications, was George Mackey. The theory of unitary representations of topological groups is closely...

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System of imprimitivity

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the context of the theory of group representations. It was used by George Mackey as the basis for his theory of induced unitary representations of locally...

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George Mackay

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War I pilot George Mackay Brown (1921–1996), Scottish poet, author and dramatist George Mackey (1916–2006), American mathematician George Mackie (disambiguation)...

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Dual topology

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the same sets are barrelled. The Mackey–Arens theorem, named after George Mackey and Richard Arens, characterizes all possible dual topologies on a locally...

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Expected value

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Mathematical Monthly. 67 (5): 409–419. doi:10.2307/2309286. JSTOR 2309286. George Mackey (July 1980). "HARMONIC ANALYSIS AS THE EXPLOITATION OF SYMMETRY - A...

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Bobby Mackey

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Haggard, George Jones, Buck Owens, Conway Twitty, and Johnny Paycheck, and is the foundation for his musical success. Mackey opened Bobby Mackey's Music...

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Quantum mechanics

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Ludwig, 1968. Wave Mechanics. London: Pergamon Press. ISBN 0-08-203204-1 George Mackey (2004). The mathematical foundations of quantum mechanics. Dover Publications...

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Direct integral

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measure-theoretic technicalities. Direct integral theory was also used by George Mackey in his analysis of systems of imprimitivity and his general theory of...

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Borel set

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to X is the pair (X,B), where B is the σ-algebra of Borel sets of X. George Mackey defined a Borel space somewhat differently, writing that it is "a set...

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Character theory

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Michio Suzuki, as well as Frobenius himself. The Mackey decomposition was defined and explored by George Mackey in the context of Lie groups, but is a powerful...

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Erin Mackey

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Erin Ashley Mackey (born June 19, 1986) is an American stage actress and singer, known for playing the role of Glinda in the Chicago, Los Angeles, Broadway...

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Arthur Jaffe

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mathematical physicist at Harvard University, where in 1985 he succeeded George Mackey as the Landon T. Clay Professor of Mathematics and Theoretical Science...

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Heisenberg group

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is constant. A version of the Stone–von Neumann theorem, proved by George Mackey, holds for the Heisenberg group H ( K ) {\displaystyle H(K)} . The Fourier...

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Representation theory

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rather than just for particular groups useful in applications) was George Mackey, and an extensive theory was developed by Harish-Chandra and others...

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Kevin Mackey

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Kevin Mackey (born August 21, 1946) is a former head coach of men's basketball at Cleveland State University. His CSU Vikings upset the Indiana Hoosiers...

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George Mackie

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(rugby union) (1949–2020), Scottish rugby union player George Mackey (1916–2006), mathematician George Mackay (disambiguation) This disambiguation page lists...

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