The Experts below are selected from a list of 54 Experts worldwide ranked by ideXlab platform

Luminiţa Viţă - One of the best experts on this subject based on the ideXlab platform.

  • constructing extensions of ultraweakly Continuous Linear Functionals
    Journal of Functional Analysis, 2000
    Co-Authors: Douglas S Bridges, Luminiţa Viţă
    Abstract:

    Let R be a Linear subset of the space B(H) of bounded operators on a Hilbert space H with an orthonormal basis. It is shown constructively that if the unit ball of R is weak-operator totally bounded, then an ultraweakly Continuous Linear Functional on R extends to one on B(H), and the extended Functional has the form T↦∑∞n=1 〈Txn, yn〉, where ∑∞n=1 ‖xn‖2 and ∑∞n=1 ‖yn‖2 are convergent series in R.

Douglas S Bridges - One of the best experts on this subject based on the ideXlab platform.

  • constructing extensions of ultraweakly Continuous Linear Functionals
    Journal of Functional Analysis, 2000
    Co-Authors: Douglas S Bridges, Luminiţa Viţă
    Abstract:

    Let R be a Linear subset of the space B(H) of bounded operators on a Hilbert space H with an orthonormal basis. It is shown constructively that if the unit ball of R is weak-operator totally bounded, then an ultraweakly Continuous Linear Functional on R extends to one on B(H), and the extended Functional has the form T↦∑∞n=1 〈Txn, yn〉, where ∑∞n=1 ‖xn‖2 and ∑∞n=1 ‖yn‖2 are convergent series in R.

Zhu Jun - One of the best experts on this subject based on the ideXlab platform.

Vladimir Kadets - One of the best experts on this subject based on the ideXlab platform.

  • a characterization of banach spaces with separable duals via weak statistical convergence
    Journal of Mathematical Analysis and Applications, 2000
    Co-Authors: Jeff Connor, M Ganichev, Vladimir Kadets
    Abstract:

    Abstract Let B be a Banach space. A B-valued sequence 〈 xk〉 is weakly statistically null provided lim n 1 n |{k ≤ n:|f(x k )| > e}| = 0 for all e > 0 and every Continuous Linear Functional f on B. A Banach space is finite dimensional if and only if every weakly statistically null B-valued sequence has a bounded subsequence. If B is separable, B* is separable if and only if every bounded weakly statistically null B-valued sequence contains a large weakly null sequence. A characterization of spaces containing an isomorphic copy of l1 is given, and it is also shown that l2 has a “statistical M-basis” which is not a Schauder basis.

Mircea Ivan - One of the best experts on this subject based on the ideXlab platform.

  • an inequality for Continuous Linear Functionals
    Applied Mathematics Letters, 2010
    Co-Authors: Ioan Gavrea, Mircea Ivan
    Abstract:

    Abstract Let n > 1 be an integer, f ∈ C n [ a , b ] , and A : C [ a , b ] → R a Continuous Linear Functional which annihilates all polynomials of degree at most n − 1 . We give sharp inequalities of the form | A ( f ) | ≤ M k ‖ f ( k ) ‖ 2 , k = 2 , … , n .