The single-valued extension property for sums and products of commuting operators

Authors: Miller T.L.¹; Neumann M.M.²

Source: Czechoslovak Mathematical Journal, Volume 52, Number 3, September 2002 , pp. 635-642(8)

Publisher: Springer

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Abstract:

It is shown that the sum and the product of two commuting Banach space operators with Dunford's property (C) have the single-valued extension property.

Keywords: single-valued extension property; Dunford's property (C); decomposable operators

Language: English

Document Type: Research article

Affiliations: 1: Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USA, miller@math.msstate.edu 2: Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USA, neumann@math.msstate.edu

Publication date: 2002-09-01