Dan Lewis
  • Professor Emeritus
Research Areas
  • Functional Analysis

Research Interests

Research Areas:

  • Banach Spaces

Educational Background

  • Ph.D. Louisiana State University, 1970
  • M.S. Louisiana State University, 1968
  • B.S. Louisiana State University, 1966

Selected Publications

  • (with Y. Gordon) Absolutely summing maps and local unconditional structures, Acta Math. 133 (1974), 27-48.

  • An isomorphic characterization of the Schmidt class, Compositio Math. 30 (1975), 293-297.

  • Ellipsoids defined by Banach ideal norms, Mathematika 26 (1979), 18-29.

  • Finite dimensional subspaces of Lp, Studia Math. 63 (1978), 207-212.

  • The dimensions of complemented Hilbertian subspaces of uniformly convex Banach lattices, Compositio Math. 50 (1983), 83-92.

  • An upper bound for the projection constant, Proc. AMS 103 (1988), 1157-1160.

  • (with Y. Gordon) Dvoretsky's theorem for quasi-normed spaces, Illinois J. Math. 35 (1991), 250-259.