Arthur D. Grainger

Born: 1942

Birthplace: Baltimore, Maryland

B.S. Mathematics (1964) Morgan State University; M.S. Mathematics (1966) University of Maryland, College Park

Ph. D. Mathematics (1975) University of Maryland, College Park

thesis:On Nonstandard Topological Vector Spaces and Invariant Subspaces of Compact Operator; A. BernsteinProfessor of Mathematics, Morgan State University

personal or universal URL:

http://www.morgan.edu/academic/faculty/mathgrai.htm

email: agrainge@morgan.eduArthur D. Grainger earned a B.S. in Mathematics from Morgan State (1964) where he was part of the "famous trio" Barnes-Grainger-Williams under Clarence Stephens. After a Masters Degree from the University of Maryland, Granger worked at International Business Machines from (?)-(?) he worked for IBM?. He earned is Ph.D. in Mathematics from the University of Maryland. From (?) to (?), Dr. Grainger was an Assistant Professor of Mathematics at Louisiana State University. He worked for AT&T (?) where he rose to Manager. In (1993), he returned to Morgan State University as a Full Professor and Mathematics Department Head.

email: agrainge@jewel.morgan.eduRESEARCH NOTES

Area of Research Interests: Non-Standard Analysis

PUBLICATIONS (in Mathematics)

- Grainger, Arthur D.
__Ultrafilters on the collection of finite subsets of an infinite set__.*Semigroup Forum***67**(2003), no. 3, 443--453. - Grainger, Arthur D.
__Invariant subspaces for polynomially compact almost superdiagonal operators on $l(p\sb i)$__.*Int. J. Math. Math. Sci.***2003, no. 31,**1961--1971. - Grainger, Arthur D.
__Flat sets__.*J. Symbolic Logic***59**(1994), no. 3, 1012--1021. - Grainger, Arthur D.
__On the nonstandard duality theory of locally convex spaces__.*Canad. J. Math.***32**(1980), no. 2, 460--479. - Grainger, Arthur D.
__Finite points of filters in infinite-dimensional vector spaces__.*Fund. Math.***104**(1979), no. 1, 47--67. - Grainger, Arthur D.
__Invariant subspaces of compact operators on topological vector spaces__.*Pacific J. Math.***56**(1975), no. 2, 477--493.

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