Papers in Journals/Proceedings

Research Papers in Journals

Algebraic Analysis

  1. Blaschke products for finite Riemann surfaces, Studia Mathematica (Poland), 34 (1970), 169-176.
  2. On the inner parts of certain analytic functions, Annales Polonici Mathematici (Poland), 26 (1972), 295-304.
  3. Ideal theory on non-orientable Klein surfaces, Arkiv fur Matematic (Sweeden), 10 (1972), 277-293 (with N.L. Alling).
  4. Ahlfors functions on triply connected domains, J. Indian Math. Soc. (India), 37 (1973), 125-135.
  5. Deficiencies of certain real uniform algebras, Canadian J. Math. (Canada), 27 (1975), 121-132 (with R.R. Simha).
  6. Boundaries for real Banach algebras, Canadian J. Math. (Canada), 28 (1976), 42-49.
  7. Gelfand-Naimark theorems for real Banach *algebras, Math. Japonica (Japan), 25 (1980), 545-558 (with S.H. Kulkarni).
  8. Gleason parts of real function algebras, Canadian J. Math. (Canada), 33 (1981), 181-200 (with S.H. Kulkarni).
  9. The spectral mapping theorem for real Banach algebras, Houston J. Math. (U.S.A.), 7 (1981), 507-517, (with S.H. Kulkarni).
  10. Maximal ideal space and Silov boundary of the tensor product of real Banach algebras, Glasnik Matematicki (Croatia), 17 (1982), 277-283 (with R.D. Mehta and M.H. Vasavada).
  11. A topological characterization of Gleason parts of real function algebras, Canadian Math. Bull. (Canada), 26 (1983), 44-49 (with S.H. Kulkarni).
  12. Isometry of an analytic map onto a Gleason part, Glasnik Matematicki (Croatia), 21 (1986), 353-356 (with S.H. Kulkarni).
  13. Extreme points of the unit ball in the dual spaces of some real subspaces of C(X), Glasnik Matematicki (Croatia), 29 (1994), 333-340 (with S.H. Kulkarni).
  14. Boundaries and Choquet sets for real subspaces of C(X), Math. Japonica (Japan), 51 (2000), 199-212 (with S.H. Kulkarni).
  15. A geometric approach to saddle points , Austral. Math. Soc. Gaz. (Australia), 36 (2009), 127-136 (with S.R. Ghorpade).
  16. On the Pringsheim convergence of double series, Proc. Estonian Acad. Sc. (Estonia), 58 (2009), 108-121 (with M. Zeltser).

Projective Geometry

  1. The fundamental theorem for the projective line over commutative rings, Acquationes Mathematicae (Canada), 13, (1977), 275-281 (with N.B. Limaye).
  2. Fundamental theorem for the projective line over non-commutative local rings, Archive der Mathematik (Germany), 28 (1977), 102-109 (with N.B. Limaye).
  3. On partial designs and m-uniform projective Hjelmslev planes, J. Combinatorics, Information and System Sciences (India), 3 (1978), 223-237 (with S.S. Sane).

Positive Approximation

  1. Korovkin's theorem for positive functionals on *normed algebras, J. Indian Math. Soc. (India), 40 (1976), 163-172 (with S.D. Shirali).
  2. Approximation by positive functionals, J. Indian Math. Soc. (India), 43 (1979), 195-202 (with M.N. Namboodiri).
  3. Korovkin-type approximation on C*-algebras, J. Approximation Theory (U.S.A.), 34 (1982), 237-246 (with M.N. Namboodiri).
  4. A generalized noncommutative Korovkin theorem and *-closedness of certain sets of convergence, Illinois J. Math. (U.S.A.), 28 (1984), 267-280, (with M.N. Namboodiri).
  5. Weak Korovkin approximation by completely positive linear maps on \beta (H), J. Approximation Theory (U.S.A.), 42 (1984), p. 202-211 (with M.N. Namboodiri).
  6. Weak approximation by positive maps on C*-algebras, Mathematica Slovaca (Slovakia), 36 (1986), 91-99 (with M.N. Namboodiri).

Approximate Solutions of Eigenvalue Problems and Operator Equations

  1. On error bounds in strong approximation for eigenvalue problems, J. Australian Math. Soc. Series B (Australia), 22 (1981), 270-283 (with R.P. Kulkarni).
  2. On the steps of convergence of approximate eigenvectors in the Rayleigh-Schrodinger series, Numerische Mathematik (Germany), 42 (1983), 31-50 (with R.P. Kulkarni).
  3. Geometric and semigeometric approximation of spectral projections, J. Math. Analysis and Applications (U.S.A), 101 (1984), p.139-159 (with R.P. Kulkarni).
  4. Localization of a simple eigenvalue and a corresponding eigenvector, Houston J. Math. (U.S.A.), 17 (1987), 129-141 (with M.T. Nair).
  5. On the accuracy of the Rayleigh-Schrodinger approximations, J. Math. Analysis and Applications (U.S.A.), 138 (1989), 413-431 (with M.T. Nair).
  6. On the error estimates for the Rayleigh-Schrodinger series and the Kato-Rellich Perturbation series, J. Australian Math. Soc. Series B (Australia), 46 (1989), 456-468 (with R.P. Kulkarni).
  7. A fixed point technique to refine a simple approximate eigenvalue and a corresponding eigenvector, Numer. Funct. Anal. and Optimiz. (U.S.A.), 10 (1989), 909-921 (with L.N. Deshpande).
  8. Solution of a Schrodinger equation by iterative refinement, J. Australian Math. Soc. Series B (Australia), 32 (1990), 115-132 (with R.P. Kulkarni).
  9. Eigenelements of perturbed operators, J. Australian Math. Soc. Series A (Australia), 49 (1990), 138-148 (with M.T. Nair).
  10. A note on iterative refinement schemes for Sylvester operator equations, Appl. Math. Lett. (U.S.A.), 6 (1993) 83-86 (with M. Ahues and A. Largillier).
  11. Boundedness of adjoint bases of approximate spectral subspaces and of associated block reduced resolvents, Numer. Funct. Anal. and Optimiz. (U.S.A.), 17 (1996), 473-502 (with R. Alam and R.P. Kulkarni).
  12. Accelerated spectral approximation, Math. Comp. (U.S.A.), 67 (1998), 1401-1422 (with R. Alam and R.P. Kulkarni).
  13. Accelerated spectral refinement, Part I: Simple eigenvalue, J. Australian Math. Soc. Series B (Australia), 41 (2000), 487-507 (with R. Alam and R.P. Kulkarni).
  14. Accelerated spectral refinement, Part II: Cluster of eigenvalues, ANZIAM J. (Australia), 42 (2000), 224-243 (with R. Alam and R.P. Kulkarni).
  15. Computation of spectral subspaces for weakly singular integral operators, Numer. Funct. Anal. and Optimiz. (U.S.A.), 25 (2004), 1-14 (with M. Ahues).
  16. A singularity subtraction iterative refinement scheme for spectral subspaces of weakly singular operators, J. Analysis (India), 16 (2006), 111-133 (with M. Ahues and A. Largillier).
  17. Uniformly conditioned bases of spectral subspaces, Numer. Funct. Anal. and Optimiz. (U.S.A.), 34 (2013), 180-206.

Linear Algebra

  1. On the stability of singular finite-rank methods, SIAM J. Numer. Anal. (U.S.A.), 27 (1990), 792-803 (with L.N. Deshpande).
  2. On a spectral characterization of rank one matrices, Lin. Alg. and Appl. (U.S.A.), 143 (1991), 1-6 (with H. Deguang).
  3. A spectral characterization of operators having rank k, Lin. Alg. and Appl. (U.S.A.), 143 (1991), 57-66.
  4. On the multiplicities and the ascent of an eigenvalue of a linear map, Math. Student (India), 64 (1995), 162-166 (with M.T. Nair).
  5. Finite-rank methods and their stability for coupled systems of operator equations, SIAM J. Numer. Anal. (U.S.A.), 33 (1996), 707-728 (with A. Largillier).
  6. On error bounds for eigenvalues of a matrix pencil, Lin. Alg. and Appl. (U.S.A.), 268 (1998), 71-89 (with M. Ahues).
  7. Sylvester's minorant criterion, Lagrange-Beltrami identity, and nonnegative definiteness, Math. Student (India), Special Centenary Volume (2007), 123-130 (with S.R. Ghorpade).
  8. Matrix formulation for infinite-rank operators, Operators and Matrices (Croatia), 6 (2012), 357-370.
  9. On condition numbers of a basis, Lin. Alg. and Appl. (U.S.A.), 439 (2013), 3359-3377 (with M. Ahues). (Listed among the Top 25 Hottest Articles in Lin. Alg. and Appl. during October-November 2013)


Papers in Proceedings

  1. Non-complex methods in the theory of real Banach algebras, Math. Student (India), 46 (1978), 49-53.
  2. 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, Prentice-Hall of India, New Delhi, 1986, 335-349.
  3. Localization results for eigenelements, in Proceedings of the International Symposium on `Modern Analysis and its Applications', held at I.I.T. Delhi in 1983, Prentice-Hall of India, New Delhi, 1986, 161-178 (with M.T. Nair).
  4. Rayleigh-Schrodinger 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, 371-388 (with M.T. Nair).
  5. Spectral approximation, Math. Student (India), 65 (1996), 36-44.
  6. The \ell_1 and \ell_infty solutions for an overdetermined system, Tubinger Berichte (Germany), 3 (1996), 211-226 (with A. Largillier).
  7. 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, 115-122.
  8. 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, 9-16 (with M. Ahues and A. Largillier).
  9. 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, 135-147.