Boris Shekhtman

Banach Spaces and Minimal Projections

 

 

  1. (with Skrzypek Les\low), On Non-uniqueness of Minimal Projections in L_p spaces. [PDF (E5)]

 

  1.  [PDF (6)] (with Skrzypek, Les\l aw), Norming points and unique minimality of orthogonal projections. Abstr. Appl. Anal. 2006, 1—17.

 

  1. [PDF (7)] (with Skrzypek, Les\l aw), Geometric Aspects of minimal Projections onto Plains, Constructive Theory of Functions, Varna 2005 (B.D. Bojanov ed.), Martin Drinov Academic Publishing House, (2006), 267—277.

 

  1. [PDF (1)] (with Skrzypek, Les\l aw), Uniqueness of minimal projections onto two-dimensional subspaces. Studia Math. 168 (2005), no. 3, 273--284.

 

  1. [PDF (1)] (with Chalmers, B. L.; Ostrovskii, M. I.), Hahn-Banach operators: a review. J. Comput. Anal. Appl. 5 (2003), no. 1, 11—24.

 

  1. [PDF (1)]On interpolation by and Banach spaces of polynomials. Paul Erdös and his mathematics, I (Budapest, 1999, Bolyai Soc. Math. Stud., 11, János Bolyai Math. Soc., Budapest, 2002, ), 637—652.

 

  1. [(3)] (with Chalmers, Bruce L.), On spaces admitting minimal projections which are orthogonal. Approximation theory, X (St. Louis, MO, 2001), 113--116, Innov. Appl. Math., Vanderbilt Univ. Press, Nashville, TN, 2002.

 

 

  1.  [(1)] (with Chalmers, B. L.), On minimal, almost locally minimal, and orthogonal minimal projections. Trends in approximation theory (Nashville, TN, 2000), 49--52, Innov. Appl. Math., Vanderbilt Univ. Press, Nashville, TN, 2001.

 

  1.  [PDF (2)] Obstacles to bounded recovery. Abstr. Appl. Anal. 6 (2001), no. 7, 381--400.

 

 

  1.  [PDF (5)] (with Chalmers, B. L.) A two-dimensional Hahn-Banach theorem. Proc. Amer. Math. Soc. 129 (2001), no. 3, 719—724

 

  1. [(2)](with Chalmers, B. L.; Metcalf, F. T.), On the computation of minimal projections: millennium report. Applied mathematics reviews, Vol. 1, 119--156, World Sci. Publ., River Edge, NJ, 2000.

 

 

  1.  [PDF (3)] (with Chalmers, B. L.), Some estimates of action constants and related parameters. Comput. Math. Appl. 40 (2000), no. 1, 71--79.

 

  1.  [PDF (4)] (with Chalmers, B.; Cottin, C.), Minimal Boolean sum and blending-type projections and extensions. Comput. Math. Appl. 40 (2000), no. 1, 63--70.

 

 

  1.  [PDF (3)] (with Chalmers, B. L.), Spectral properties of operators that characterize $l\sp {(n)}\sb \infty$. Abstr. Appl. Anal. 3 (1998), no. 3-4, 237—246.

 

  1.   [(6)](with Chalmers, B.) Actions that characterize $l\sp {(n)}\sb \infty$. Linear Algebra Appl. 270 (1998), 155--169.

 

  1. [PDF (2)]On the strong form of the Faber theorem. Stochastic processes and functional analysis (Riverside, CA, 1994), 215--218, Lecture Notes in Pure and Appl. Math., 186, Dekker, New York, 1997.

 

  1.  [PDF (2)] (with Chalmers, B. L.) Extension constants of unconditional two-dimensional operators. Linear Algebra Appl. 240 (1996), 173--182.

 

  1. [(1)] (with Chalmers, B. L.) The action constants. Approximation, probability, and related fields (Santa Barbara, CA, 1993), 161--166, Plenum, New York, 1994.

 

  1.  [(2)] (with Chalmers, B. L.) On the role of $l\sb \infty$ in approximation theory. Approximation, probability, and related fields (Santa Barbara, CA, 1993), 151--160, Plenum, New York, 1994.

 

  1.   [(1)] (with Chalmers, B. L.; Pan, K. C.), When is the adjoint of a minimal projection also minimal. Approximation theory (Memphis, TN, 1991), 217--226, Lecture Notes in Pure and Appl. Math., 138, Dekker, New York, 1992.

 

  1.  [(3)](with Chalmers, B. L.; Pan, K. C.) A strategy for proving extensions of the $4/3$ conjecture. Approximation theory (Memphis, TN, 1991), 207--215, Lecture Notes in Pure and Appl. Math., 138, Dekker, New York, 1992.

 

  1.  [(4)] Some examples concerning projection constants. Approximation theory, spline functions and applications (Maratea, 1991), 471--476, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 356, Kluwer Acad. Publ., Dordrecht, 1992.

 

  1.  [PDF (5)] Discrete approximating operators on function algebras. Constr. Approx. 8 (1992), no. 3, 371--377.

 

  1.  [PDF (6)] (with Gierz, Gerhard),On Archimedean ordered vector spaces and a characterization of simplices. Proc. Amer. Math. Soc. 116 (1992), no. 2, 369--375.

 

  1.  [PDF (1)] Some idempotent matrices of large rank. Approximation interpolation and summability (Ramat Aviv, 1990/Ramat Gan, 1990), 261--266, Israel Math. Conf. Proc., 4, Bar-Ilan Univ., Ramat Gan, 1991

 

  1.  [(4)] (with Pan, K. C.), On minimal interpolating projections and trace duality. J. Approx. Theory 65 (1991), no. 2, 216--230.

 

  1.  [PDF (1)] On the norms of interpolating operators. Israel J. Math. 64 (1988), no. 1, 39--48.

 

  1. [(1)] On the geometry of real polynomials. Approximation theory, Tampa (Tampa, Fla., 1985--1986), 161--175, Lecture Notes in Math., 1287, Springer, Berlin, 1987

 

  1. [(1)] On projections in $L\sb 1$ and $L\sb \infty$. Constr. Approx. 1 (1985), no. 4, 297--303.

 

  1. [(2)] (with Newman, Donald J.), On isomorphisms with a prescribed range. J. Math. Anal. Appl. 117 (1986), no. 2, 299--302.

 

  1.  [PDF (2)] On the norms of some projections. Banach spaces (Columbia, Mo., 1984), 177--185, Lecture Notes in Math., 1166, Springer, Berlin, 1985.

 

  1.  [PDF (3)] (with Chalmers, Bruce L.), Minimal projections and absolute projection constants for regular polyhedral spaces. Proc. Amer. Math. Soc. 95 (1985), no. 3, 449—452.
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