TENNESSEE TECHNOLOGICAL UNIVERSITY

DEPARTMENT OF MATHEMATICS
COOKEVILLE,  TN 38505

Office: Bruner Hall 333
Tel: 931-372-3583
Fax:931-372-6353
e-mail: Rgarimella@tntech.edu

Mailing Address:
Box. 5054
Department of Mathematics,
Tennessee Technological University, Cookeville, TN 38505 USA

Education

• B.S., Mathematics(major), Physics and Chemistry (minors); Andhra University, India 1979.
• M.S., Mathematics, Andhra University,India, 1981.
• Ph.D., Mathematics, University of Toledo, 1986.

                Spring 2004:            Linear Algebra II (MATH 4540)
                                                 Abstract Algebra II (MATH 6120)
                                                  Real Analysis II  (MATH 6420)
 

Research

My primary research area is functional analysis, especially topics related to automatic continuity theory of semi prime Banach algebras, abelian group algebras, the separating ideals of epimorphisms and derivations and closed prime ideals in Banach algebras . The basic problem of the so-called automatic continuity theory is to give conditions that guarantee continuity of linear operators between two spaces. Most recently, I have been working on different type of  problems. The problems involve invertibilty of  certain type of  rank-one operators on Hilbert spaces which will be useful in solving some non-linear PDE's using operator- theoretic methods and also on the stabiltity of mutivariable polynomials.

Selected papers in the last 5 years

1.  "Inequalities for absolute maxima of a polynomial and its derivative" (Analysis Mathematica, 29(2003), 171-180.
2. " On the invertibility of some operators on Hilbert Spaces" ( submitted to J. Math. Anal & Appl. in May 2000, TTU Technical Report No. 2000-3, joint work with V. Hrynkiv and Y-W. Liu)
3. "On New Characterization of some L^p-spaces" , Internat. J. Math. & Math. Sci. Vol 23, No.7 (2000), P.487-492, (joint work with R. Jenkins).
4. " On the separating ideals of some vector- valued group algebras", Bull. Korean Math. Soci. Vol 36,  No. 4(1999), P.487-492.
5. "Accessible prime ideals in commutataive Banach algebras", J. Indian Mathematical. Soci. (N.S.), Vol 66, No. 1-4(1999), P.177-183.
6. "On automatic continuity of derivations and epimorphisms on some vector valued group algebras", Bull. Australian Math.  Soci., Vol. 56(1), (1997), p.209-215.
7. "On separating ideals of commutative Banach algebras", Interaction between Fucntional Analysis, Harmonic Analysis, and Probability, Research Lecture Notes, Marcel Dekker, Vol 175(1996), P 181-185.