Bruce Chalmers Publications
Technical Publications
Journal Articles
1. Bergman, S., Chalmers, B. 1967. "A Procedure for Conformal Mapping of Triply-Connected Domains". Mathematics of Computation. p.527-542. (Refereed)
2. Chalmers, B. 1968. "Sur le comportement, a la frontiere, d_e la fonction(noyau de Bergman". C.R. Acad. Sc. Paris. p.1132-1134. (Refereed)
3. Chalmers, B. 1969. "On Boundary Behavior of the Bergman Kernel Function and Related Domain Functionals". Pacific J. Math. p.243-250. (Refereed)
4. Chalmers, B. 1969. "Subspace Kernels and Minimum Problems in Hilbert Spaces with Kernel Function". Pacific Journal of Mathematics. p.619-628. (Refereed)
5. Chalmers, B. 1970. "Interpolation Series and Sequences". Archiv der Mathematik. p.609-616. (Refereed)
6. Chalmers, B., Ferguson, L. 1971. "Sets of Best Approximation in Certain Classes of Normed Spaces". Journal of Approximation Theory. p.194-203. (Refereed)
7. Chalmers, B. 1971. "Some Interpolation Problems in Hilbert Spaces". Michigan Mathematical Journal. p.41-49. (Refereed)
8. Chalmers, B. 1972. "A Unified Approach to Uniform Real Approximation by Polynomials with Linear Restrictions". Transactions of the American Mathematical Society. p.309-316. (Refereed)
9. Chalmers, B. 1973. "Uniqueness of Best Approximation of a Function and Its Derivatives". Journal of Approximation Theory. p.213-225. (Refereed)
10. Chalmers, B. 1973. "On Weak Underpolynomials of Generalized Infrapolynomials". Journal of Approximation Theory. p.391-394. (Refereed)
11. Chalmers, B. 1974. "Taylor-like Remainder Formulas". Journal of Mathematical Analysis and Applications. p.142-155. (Refereed)
12. Chalmers, B., Johnson, D., Metcalf, F., Taylor, G. 1974. "Remarks on the Rank of Hermite-Birkhoff Interpolation". SIAM J. Numer. Anal. p.254-259. (Refereed)
13. Chalmers, B., Metcalf, F. 1974. "Taylor-Like Remainder Formulas for Interpolation by Arbitrary Linear Functionals". SIAM. J. Numer. Anal. p.950-964. (Refereed)
14. Chalmers, B. 1975. "Images of bounded linear operators on a Hilbert space with kernel function". Archiv der Mathematik. p.313-316. (Refereed)
15. Chalmers, B. 1975. "A Representation of Generalized Infrapolynomials". Proceedings of the American Mathematical Society. p.358-364. (Refereed)
16. Chalmers, B. 1976. "A Review of The Remez Exchange Algorithm for Approximation with Linear Restrictions". Theory of Approximation with Applications. p.278-298. (Refereed)
17. Chalmers, B. 1976. "The Remez Exchange Algorithm for Approximation with Linear Restrictions". Transactions of the American Mathematical Society. p.103-131. (Refereed)
18. Chalmers, B., Metcalf, F. 1977. "Minimal Generalized Interpolation Projections". Journal of Approximation Theory. p.302-313. (Refereed)
19. Chalmers, B., Taylor, G. 1979. "Uniform Approximation with Constraints". Jber. d. Dt. Math.-Verein. p.49-86. (Refereed)
20. Chalmers, B. 1981. "A Natural Simple Projection with Norm ≤√n". Journal of Approximation Theory. p.226-232. (Refereed)
21. Chalmers, B., Taylor, G. 1983. "A Unified Theory of Strong Uniqueness in Uniform Approximation with Constraints". Journal of Approximation Theory. p.29-43. (Refereed)
22. Chalmers, B., Metcalf, F., Taylor, G. 1983. "Strong Unicity of Arbitrary Rate". Journal of Approximation Theory. p.238-245. (Refereed)
23. Chalmers, B., Egger, A., Taylor, G. 1983. "Convex Lp Approximation". Journal of Approximation Theory. p.326-334. (Refereed)
24. Chalmers, B., Kaufman, Jr, E., Leeming, D., Taylor, G. 1984. "Uniform Reciprocal Approximation Subject to Linear Constraints". Journal of Approximation Theory. p.201-216. (Refereed)
25. Chalmers, B., Bani, M. 1984. Best approximation in L∞ via iterative Hilbert space procedures. J. Approx. Theory. p.173-180. 8p. (Refereed)
26. Chalmers, B., Mason, J. 1984. Minimal Lp prjections by Fourier, Taylor, and Laurent series. J. Approx. Theory. p.293-297 . 5p. (Refereed)
27. Chalmers, B., Mason, J. 1984. Near-best Lp approximation by Fourier, Taylor, and Laurent sereies. IMA J. Num. Anal. p.1-8. 8p. (Refereed)
28. Chalmers, B. 1985. Minimal projections and absolute projection constants for regular polynedral spaces . Proc. Amer. Math. Soc 95. p.449-452. 4p. (Refereed)
29. Chalmers, B. 1985. Absolute projection constants via absolute minimal projections. Lecture Notes in Mathematics 1166; Banach Spaces (Proceedings, 1984). p.15-21. 7p. (Refereed)
30. Chalmers, B. 1986. Best approximation in finite-dimensional spaces . J. Num. Func. Anal. and Optimization 8. p.435-446. 12p. (Refereed)
31. Chalmers, B. 1986. The Fourier projection is minimal for regular poloyhedral spaces. J. Approx. Theory. p.201-206. 6p. (Refereed)
32. Chalmers, B., Phillips, G.M., Taylor, P.J. 1987. Polynomial approximation using projections which vanish on the Chebyshev polynomials. J. Approx. Theory 53. p.321-334. 14p. (Refereed)
33. Chalmers, B. 1987. Absolute projection constant of the linear functions in a Lebesgue space. Constructive Approximation 4. p.107-110. 4p. (Refereed)
34. Metcalf, F.T., Metcalf, M.T. 1990. Determination of a minimal projection from C[-1; 1] onto the quadratics. Num. Funct. anal. and Optimization 11. p.1-10. 10p. (Refereed)
35. Chalmers, B., Metcalf, F.T. 1992. A simple formula showing L1 is a maximal overspace for two-dimensional real spaces. Ann. Polonici Math 56. p.303-309. 7p. (Refereed)
36. Chalmers, B. 1992. The determination of minimal projections and extensions in L1. Trans. Am. Math. Soc., 329. p.289-305. 7p. (Refereed)
37. Chalmers, B. 1994. On the role of ∞ n in approximation theory, in Approximation, Probability and Related Fields. G. Anastassiou and S. T. Rachev, eds., Plenum. p.151-160. 10p. (Refereed)
38. Chalmers, B., Shekhtman, B. 1994. Action constants, in Approximation Probability and Related Fields. G. Anastassiou and S. T. Rachev, eds., Plenum. p.161-166. 6p. (Refereed)
39. Chalmers, B., Metcalf, M.T. 1994. A characterization and equations for minimal projections and extensions. J. Operator Theory, 32. p.31-46. 16p. (Refereed)
40. Chalmers, B., Prophet, M. 1995. The geometry of minimal shape-preserving projections ontoIIn. Computers Math. Applic., 30. p.277-282. 6p. (Refereed)
41. Chalmers, B., Franchetti, C., Giaquinta, M. 1996. On the self-length of twodimensional Banach spaces. Bull. Austr. Mat. Soc., 53. p.101-107. 7p. (Refereed)
42. Chalmers, B., Shekhtman, B. 1996. Extension constants of unconditional twodimensional operators. Lin. Alg. and Appl., 240. p.173-182. 10p. (Refereed)
43. Chalmers, B., Metcalf, F.T. 1996. The minimal projection from L1 onto ∏π‚ in Stochastic Processes and Functional Analysis. Goldstein, Gretsky, Uhl eds., Marcel Dekker, Inc. New York. p.61-69. 9p. (Refereed)
44. Chalmers, B., Prophet, M. 1997. Minimal shape-preserving projections onto IIn. Num. Funct. ANal. And Optimization 18. p.507-519. 13p. (Refereed)
45. Chalmers, B., Prophet, M. 1998. The existence of shape-preserving oeprators with a given action. RMJM. p.813-834. 22p. (Refereed)
46. Chalmers, B., Shekhtman, B. 1998. Actions that characterize l ∞. Lin. Alg. and Appl., 270d. p.155-169. 15p. (Refereed)
47. Chalmers, B., Shekhtman, B. 1998. Spectral properties of operators that characterize l ∞ . Abstract and Applied Analysis. p.237-246. 10p. (Refereed)
48. Chalmers, B., Lewicki, G. 1998. Minimal projections onto some subspaces of l. Functiones ed Approximatio. p.85-92. 8p. (Refereed)
49. Chalmers, B., Lewicki, G. 1999. Symmetric subspaces of l1 with large projection constants. Studia Math. p.119-133. 15p. (Refereed)
50. Chalmers, B., Prophet, M., Levitan, D. 1999. Optimal Interpolating Spaces Preserving Shape. J. Approx. Theory. p.354-373. 20p. (Refereed)
51. Chalmers, B., Shekhtman, B. 2000. Some estimates of action constants and related parameters. Computers and Mathematics with Applications. p.71-79. 9p. (Refereed)
52. Chalmers, B., Shekhtman, B. 2000. Minimal Boolean sum and blending-type projections and extensions. Computers and Mathematics with Applications. p.53-70. 18p. (Refereed)
53. Chalmers, B., Lewicki, G. 2000. Two-dimensional real symmetric spaces with maximal projection constants. Ann. Polonici Math., Ann Polonici Math 72 (2). p.119-134. 16p. (Refereed)
54. Chalmers, B., Lewicki, G. 2000. On the Computation of Minimal Projections: Millennium Report. Applied Mathematics Reviews, G.A. Anastassiou, World Scientific. Vol. Vol. 1 ed. : p.119-156. 38p. (Refereed)
55. Chalmers, B., Shekhtman, B. 2001. A two-dimensional Hahn-Banach theorem. Proc. Amer. Math. Soc., 129. p.719-724. 6p. (Refereed)
56. Chalmers, B., Ostrowskii, M., Shekhtman, B. 2003. Hahn-Banach Operators: A Review. J. Comput. Anal. Appl., 5 (1). p.11-24. 14p. (Refereed)
57. Chalmers, B., Prophet, M., Ribando, J. 2003. Existence of shape-preserving cyclic operators and simplicial cones. Linear Algebra and its Applications, 375. p.157-170. 14p. (Refereed)
58. Chalmers, B. 2003. An n-dimensional Hahn-Banach extension theorem and minimal projections. J. Comput. Anal. Appl., 5(1). p.3-10. 8p. (Refereed)
59. Chalmers, B., Lewicki, G. 2003. Symmetric spaces with maximal projection constants. J. Funct. Analysis, 200(1). p.1-22. 22p. (Refereed)
60. Chalmers, B., Ostrowskii, M. 2004. A new class of normed spaces with non-trival groups of isometries and some estimates for operators with given action. Rocky Mtn. J. Math, 34, No. 1. p.59-81. 23p. (Refereed)
61. Chalmers, B., Mupasiri, D., Prophet, M. 2006. A characterization and equations for minimal shape-preserving projections. J. Approx. Theory, 138. p.184-1996. 13p. (Refereed)
(In Press)
1. Chalmers, B., Aksoy, A. Numerical Radius Extensions of Operators. Proc. Amer. Math. Soc. (Accepted 01/15/2007. 13 manuscript pages.) (Refereed)
Conference and Symposia Proceedings
1. Chalmers, B., Metcalf, F.T. 1976. On the computation of minimal oprojections from C[0; 1] to Pn[0; 1]. Approx. Theory II, Academic Press. p.321-326. (Refereed, )
2. Chalmers, B., Taylor, G. 1980. On the existence of strong unicity of arbitrarily small order. Approximation Theory III, E.W. Cheney, ed. p.293-298. 6p. Proc. of Conf., Austin, TX, January 1980 . (Refereed, )
3. Chalmers, B., Metcalf, F.T. 1980. Multiplicative variations lead to the variational equations for minimal projections. Approximation III. E. W. Cheney, ed, . p.285-291. 7p. Proc. of Conf., Austin, TX, January 1980. (Refereed, )
4. Chalmers, B. 1980. Formulas for minimal projections. Academic Press. p.373-381. 9p. Proc. of Conf. on General Topology and Modern Analysis. University of California, Riverside, CA, May 28-31. (Refereed, )
5. Chalmers, B. 1983. The (* )-equation and the form of the minimal projection operator. Approximation Theory IV, D.K. Choi, L.L. Schumaker, J.D. Ward, eds. p.393-399. 7p. Proc. of Conf., College Station, TX, January 1983. (Refereed, )
6. Chalmers, B. 1986. Absolute projection constants. Approxiomation Theory V, C.K. Chui, L.L. Schumaker, J.D. Ward, eds. p.291-294. 4p. Proc. of Conf., College Station, TX, January 1986. (Refereed, )
7. Chalmers, B., Metcalf, F.T. 1989. Critical points of the n-dimensional Khintchine ratio and Rademacher projection norms. Approximation Theory VI, C. K. Chui, L. L. Schumaker and J. D. Ward, Academic Press. p.125-128. 4p. New York. (Refereed, )
8. Chalmers, B., Metcalf, F. 1989. Minimal projections and extentions for compact abelian groups. Approximation Theory VI, C. K. Chui, et al, ds., Academic Press, New York. p.129-132. 4p. (Refereed, )
9. Chalmers, B., Pan, K., Shekhtman, B. 1991. When is the adjoint of a minimal projection also minimal. Lect Notes in Pure and Applied Math. p.217-226. 10p. Proc. of Memphis Conf. (Refereed, )