Results 51 to 56 of about 736 (56)

The group reduction for bounded cosine functions on UMD spaces [PDF]

open access: yesarXiv, 2007
It is shown that if A generates a bounded cosine operator function on a UMD space X, then i(-A)^{1/2} generates a bounded C_0-group. The proof uses a transference principle for cosine functions.
arxiv  

Distributed Order Calculus: an Operator-Theoretic Interpretation [PDF]

open access: yesarXiv, 2007
Within the functional calculi of Bochner-Phillips and Hirsch, we describe the operators of distributed order differentiation and integration as functions of the classical differentiation and integration operators respectively.
arxiv  

Hyperinvariant subspace for weighted composition operator on $L^p([0,1]^d)$ [PDF]

open access: yesarXiv, 2008
The main result of this paper is the existence of a hyperinvariant subspace of weighted composition operator $Tf=vf\circ\tau$ on $L^p([0,1]^d)$, ($1 \leq p \leq \infty$) when the weight $v$ is in the class of ``generalized polynomials'' and the composition map is a bijective ergodic transform satisfying a given discrepancy.
arxiv  

A shorter proof of a result by Potapov and Sukochev on Lipschtiz functions on $S^p$ [PDF]

open access: yesarXiv, 2009
In this short note we give a short proof of a recent result by Potapov and Sukochev (arXiv:0904.4095v1), stating that a Lipschitz function on the real line remains Lipschitz on the (self-adjoint part of) non-commutative $L_p$ spaces with $1
arxiv  

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