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Let and . We prove that , the ideal of operators of Geľfand type , is contained in the ideal of -absolutely summing operators. For this generalizes a result of G. Bennett given for operators on a Hilbert space.
Mathematics Subject Classification: 26A33, 47B06, 47G30, 60G50, 60G52, 60G60.In this paper the multi-dimensional analog of the Gillis-Weiss random walk model is studied. The convergence of this random walk to a fractional diffusion process governed by a symmetric operator defined as a hypersingular integral or the inverse of the Riesz potential in the sense of distributions is proved.* Supported by German Academic Exchange Service (DAAD).
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