Displaying similar documents to “On the dependence of the orthogonal projector on deformations of the scalar product”

Orthogonal polynomials and middle Hankel operators on Bergman spaces

Lizhong Peng, Richard Rochberg, Zhijian Wu (1992)

Studia Mathematica

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We introduce a sequence of Hankel style operators H k , k = 1,2,3,..., which act on the Bergman space of the unit disk. These operators are intermediate between the classical big and small Hankel operators. We study the boundedness and Schatten-von Neumann properties of the H k and show, among other things, that H k are cut-off at 1/k. Recall that the big Hankel operator is cut-off at 1 and the small Hankel operator at 0.

Symmetric subspaces of l 1 with large projection constants

Bruce Chalmers, Grzegorz Lewicki (1999)

Studia Mathematica

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We construct k-dimensional (k ≥ 3) subspaces V k of l 1 , with a very simple structure and with projection constant satisfying λ ( V k ) ≥ λ ( V k , l 1 ) > λ ( l 2 ( k ) ) .