Extrinsic symmetric submanifolds contained in quaternionic symmetric spaces
Characterization of Bessel sequences.
Let H be a separable Hilbert space, L(H) be the algebra of all bounded linear operators of H and (H) be the set of all Bessel sequences of H. Fixed an orthonormal basis E = {e} of H, a bijection α: (H) → L(H) can be defined. The aim of this paper is to characterize α (A) for different classes of operators A ⊆ L(H). In particular, we characterize the Bessel sequences associated to injective operators, compact operators and Schatten p-classes.
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