ar X iv : 0 80 5 . 06 20 v 1 [ m at h . FA ] 6 M ay 2 00 8 EMBEDDINGS BETWEEN OPERATOR - VALUED DYADIC BMO SPACES
نویسنده
چکیده
We investigate a scale of dyadic operator-valued BMO spaces, corresponding to the different yet equivalent characterizations of dyadic BMO in the scalar case. In the language of operator spaces, we investigate different operator space structures on the scalar dyadic BMO space which arise naturally from the different characterisations of scalar BMO. We also give sharp dimensional growth estimates for the sweep of functions and its bilinear extension in some of those different dyadic BMO spaces.
منابع مشابه
ar X iv : 0 80 5 . 01 58 v 1 [ m at h . FA ] 1 M ay 2 00 8 OPERATOR - VALUED DYADIC BMO SPACES
We consider BMO spaces of operator-valued functions, among them the space of operator-valued functions B which define a bounded paraproduct on L(H). We obtain several equivalent formulations of ‖πB‖ in terms of the norm of the ”sweep” function of B or of averages of the norms of martingales transforms of B in related spaces. Furthermore, we investigate a connection between John-Nirenberg type i...
متن کاملar X iv : 0 90 5 . 08 78 v 1 [ m at h . FA ] 6 M ay 2 00 9 Spectral Models for Orthonormal Wavelets and Multiresolution Analysis of L 2 ( R )
Spectral representations of the dilation and translation operators on L 2 (R) are built through appropriate bases. Orthonormal wavelets and multiresolution analysis are then described in terms of rigid operator-valued functions defined on the functional spectral spaces. The approach is useful for computational purposes.
متن کاملar X iv : 0 80 5 . 18 60 v 2 [ m at h . FA ] 1 5 M ay 2 00 8 UNCONDITIONAL BASIC SEQUENCES IN SPACES OF LARGE DENSITY
We study the problem of the existence of unconditional basic sequences in Banach spaces of high density. We show, in particular, the relative consistency with GCH of the statement that every Banach space of density אω contains an unconditional basic sequence.
متن کاملar X iv : 0 80 5 . 18 60 v 1 [ m at h . FA ] 1 3 M ay 2 00 8 UNCONDITIONAL BASIC SEQUENCES IN SPACES OF LARGE DENSITY
We study the problem of the existence of unconditional basic sequences in Banach spaces of high density. We show, in particular, the relative consistency with GCH of the statement that every Banach space of density אω contains an unconditional basic sequence.
متن کاملAn Extrapolation of Operator Valued Dyadic Paraproducts
X iv :0 70 9. 42 29 v1 [ m at h. FA ] 2 6 Se p 20 07 An Extrapolation of Operator Valued Dyadic Paraproducts Tao MEI 1 Abstract We consider the dyadic paraproducts πφ on T associated with an M-valued function φ. Here T is the unit circle and M is a tracial von Neumann algebra. We prove that their boundedness on L(T, L(M)) for some 1 < p < ∞ implies their boundedness on L(T, L(M)) for all 1 < p ...
متن کامل