Papers in Journals/Proceedings
Research Papers in Journals
Algebraic Analysis
 Blaschke products for finite Riemann surfaces, Studia Mathematica (Poland), 34 (1970), 169176.
 On the inner parts of certain analytic functions, Annales Polonici Mathematici (Poland), 26 (1972), 295304.
 Ideal theory on nonorientable Klein surfaces, Arkiv fur Matematic
(Sweeden), 10 (1972), 277293 (with N.L. Alling).
 Ahlfors functions on triply connected domains, J. Indian
Math. Soc. (India), 37 (1973), 125135.
 Deficiencies of certain real
uniform algebras, Canadian J.
Math. (Canada), 27 (1975), 121132 (with R.R. Simha).

Boundaries for real Banach
algebras, Canadian J. Math.
(Canada), 28 (1976), 4249.

GelfandNaimark theorems for real Banach
*algebras, Math. Japonica
(Japan), 25 (1980), 545558 (with S.H. Kulkarni).

Gleason parts of real function
algebras, Canadian J. Math.
(Canada), 33 (1981), 181200 (with S.H. Kulkarni).

The spectral mapping theorem for
real Banach algebras, Houston J.
Math. (U.S.A.), 7 (1981), 507517, (with S.H. Kulkarni).

Maximal ideal space and Silov
boundary of the tensor product of real Banach algebras, Glasnik Matematicki (Croatia), 17 (1982),
277283 (with R.D. Mehta and M.H. Vasavada).

A topological characterization of
Gleason parts of real function algebras, Canadian Math. Bull. (Canada), 26 (1983), 4449 (with S.H.
Kulkarni).

Isometry of an analytic map onto a
Gleason part, Glasnik
Matematicki (Croatia), 21 (1986), 353356 (with S.H. Kulkarni).

Extreme points of the unit ball in
the dual spaces of some real subspaces of C(X), Glasnik Matematicki (Croatia), 29 (1994),
333340 (with S.H. Kulkarni).

Boundaries and Choquet sets for
real subspaces of C(X),
Math. Japonica (Japan), 51 (2000), 199212 (with S.H.
Kulkarni).

A geometric approach to saddle points
, Austral. Math. Soc. Gaz. (Australia), 36 (2009), 127136
(with S.R. Ghorpade).

On the Pringsheim convergence of double series, Proc. Estonian Acad. Sc.
(Estonia), 58 (2009), 108121 (with M. Zeltser).
Projective Geometry

The fundamental theorem for the
projective line over commutative rings, Acquationes Mathematicae (Canada), 13, (1977), 275281
(with N.B. Limaye).

Fundamental theorem for the
projective line over noncommutative local rings, Archive der Mathematik (Germany), 28 (1977),
102109 (with N.B. Limaye).

On partial designs and muniform
projective Hjelmslev planes, J. Combinatorics, Information and System Sciences (India), 3
(1978), 223237 (with S.S. Sane).
Positive Approximation

Korovkin's theorem for positive
functionals on *normed algebras,
J. Indian Math. Soc. (India), 40 (1976), 163172 (with S.D. Shirali).

Approximation by positive
functionals, J. Indian Math.
Soc. (India), 43 (1979), 195202 (with M.N. Namboodiri).

Korovkintype approximation on
C*algebras, J. Approximation
Theory (U.S.A.), 34 (1982), 237246 (with M.N. Namboodiri).

A generalized noncommutative
Korovkin theorem and *closedness of certain sets of convergence, Illinois J. Math. (U.S.A.), 28 (1984),
267280, (with M.N. Namboodiri).

Weak Korovkin approximation by
completely positive linear maps on \beta (H), J. Approximation Theory (U.S.A.), 42 (1984), p.
202211 (with M.N. Namboodiri).

Weak approximation by positive
maps on C*algebras,
Mathematica Slovaca (Slovakia), 36 (1986), 9199 (with M.N.
Namboodiri).
Approximate Solutions of Eigenvalue Problems and Operator Equations

On error bounds in strong
approximation for eigenvalue problems, J. Australian Math. Soc. Series B (Australia), 22 (1981), 270283
(with R.P. Kulkarni).

On the steps of convergence of
approximate eigenvectors in the RayleighSchrodinger series, Numerische Mathematik (Germany), 42
(1983),
3150 (with R.P. Kulkarni).

Geometric and semigeometric approximation
of spectral projections, J.
Math. Analysis and Applications (U.S.A), 101 (1984), p.139159 (with R.P.
Kulkarni).

Localization of a simple
eigenvalue and a corresponding eigenvector, Houston J. Math. (U.S.A.), 17 (1987), 129141
(with M.T. Nair).

On the accuracy of the
RayleighSchrodinger approximations, J. Math. Analysis and Applications (U.S.A.),
138 (1989), 413431 (with M.T. Nair).

On the error estimates for the
RayleighSchrodinger series and the KatoRellich Perturbation
series, J. Australian Math.
Soc. Series B (Australia), 46 (1989), 456468 (with R.P. Kulkarni).

A fixed point technique to refine
a simple approximate eigenvalue and a corresponding eigenvector, Numer. Funct. Anal. and Optimiz. (U.S.A.), 10
(1989), 909921 (with L.N. Deshpande).

Solution of a Schrodinger
equation by iterative refinement,
J. Australian Math. Soc. Series B (Australia), 32 (1990), 115132 (with
R.P. Kulkarni).

Eigenelements of perturbed
operators, J. Australian Math.
Soc. Series A (Australia), 49 (1990), 138148 (with M.T. Nair).

A note on iterative refinement
schemes for Sylvester operator equations, Appl. Math. Lett. (U.S.A.), 6 (1993) 8386 (with M. Ahues and A.
Largillier).

Boundedness of adjoint bases of approximate
spectral subspaces and of associated block reduced resolvents, Numer. Funct. Anal. and Optimiz. (U.S.A.), 17
(1996), 473502 (with R. Alam and R.P. Kulkarni).

Accelerated spectral approximation, Math. Comp. (U.S.A.), 67 (1998), 14011422
(with R. Alam and R.P. Kulkarni).

Accelerated spectral refinement,
Part I: Simple eigenvalue,
J. Australian Math. Soc. Series B (Australia), 41 (2000), 487507
(with R. Alam and R.P. Kulkarni).

Accelerated spectral refinement,
Part II: Cluster of eigenvalues,
ANZIAM J. (Australia), 42 (2000), 224243
(with R. Alam and R.P. Kulkarni).

Computation of spectral subspaces for weakly singular integral operators,
Numer. Funct. Anal. and Optimiz. (U.S.A.), 25 (2004), 114
(with M. Ahues).

A singularity subtraction iterative refinement scheme for spectral subspaces of weakly
singular operators,
J. Analysis (India), 16 (2006), 111133 (with M. Ahues and A.
Largillier).

Uniformly conditioned bases of spectral
subspaces,
Numer. Funct. Anal. and Optimiz.
(U.S.A.), 34 (2013), 180206.
Linear Algebra

On the stability of singular
finiterank methods, SIAM J.
Numer. Anal. (U.S.A.), 27 (1990), 792803 (with L.N. Deshpande).

On a spectral characterization of
rank one matrices, Lin. Alg.
and Appl. (U.S.A.), 143 (1991), 16 (with H. Deguang).

A spectral characterization of
operators having rank k, Lin.
Alg. and Appl. (U.S.A.), 143 (1991), 5766.

On the multiplicities and the ascent
of an eigenvalue of a linear map,
Math. Student (India), 64 (1995), 162166 (with M.T. Nair).

Finiterank methods and their
stability for coupled systems of operator equations, SIAM
J. Numer. Anal. (U.S.A.), 33 (1996),
707728 (with A. Largillier).

On error bounds for eigenvalues of
a matrix pencil, Lin. Alg. and
Appl. (U.S.A.), 268 (1998), 7189 (with M. Ahues).

Sylvester's minorant criterion, LagrangeBeltrami
identity, and nonnegative definiteness, Math.
Student (India), Special Centenary Volume (2007), 123130 (with S.R.
Ghorpade).

Matrix formulation for infiniterank operators,
Operators and Matrices (Croatia), 6 (2012), 357370.

On condition numbers of a basis,
Lin. Alg. and Appl. (U.S.A.), 439 (2013), 33593377 (with
M. Ahues). (Listed among the Top 25 Hottest Articles in Lin. Alg. and
Appl. during OctoberNovember 2013)
Papers in Proceedings

Noncomplex methods in the theory
of real Banach algebras, Math.
Student (India), 46 (1978), 4953.

Numerical approximation of
eigenvalues and eigenvectors, in Proceedings of the International
Symposium on `Modern Analysis and its Applications', held at I.I.T. Delhi in 1983, PrenticeHall of
India, New Delhi, 1986, 335349.

Localization results for
eigenelements, in Proceedings of the International Symposium on `Modern
Analysis and its Applications',
held at I.I.T. Delhi in 1983, PrenticeHall of India, New Delhi, 1986,
161178 (with M.T. Nair).

RayleighSchrodinger
procedure for iterative refinement of computed eigenelements under strong
approximation, in Proceedings of the International Conference on `Methods
of Functional Analysis in Approximation Theory', held at I.I.T. Bombay in 1985, Birkhauser
Verlag, Basel, 1986, 371388 (with M.T. Nair).

Spectral approximation, Math. Student (India), 65 (1996), 3644.

The \ell_1 and \ell_infty
solutions for an overdetermined system, Tubinger Berichte (Germany), 3 (1996), 211226 (with A.
Largillier).
 Spectral approximation for compact integral
operators, in Proceedings of
the Seventh International Conference on `Integral Methods in Science and
Engineering: Analytic and Numerical Techniques', held at Universite
Jean Monnet, St. Etienne (France) in 2002, Birkhauser, Boston,
2003, 115122.

On acceleration of spectral computations for integral operators with
weakly singular kernels, in Proceedings of the
Ninth
International Conference on `Integral Methods in Science and Engineering:
Techniques and Applications', held at Niagara Falls (Canada) in 2006,
Birkhauser, Boston, 2007, 916 (with
M. Ahues and A. Largillier).

Operator approximation, in Proceedings of the International Conference
on `Semigroups, Algebras and Operator
Theory', held at Cochin
University of Science and Technology, Kochi (India) in 2014,
Springer Proceedings
in Mathematics and Statistics, Vol 142, Springer India 2015, 135147.