16 research outputs found

    Band irreducible operators

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    Productivity : identification and classification of factors affecting productivity in the construction of a large-diameter pipeline project

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    Study project (M. Ing.) -- University of Stellenbosch, 1992.Full text to be digitised and attached to bibliographic record

    The It么 integral for Brownian motion in vector lattices. Part 2

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    The It么 integral for Brownian motion in a vector lattice, as constructed in Part 1 of this paper, is extended to accommodate a larger class of integrands. This extension provides an analogue of the indefinite It么 integral in the classical setting which yields a local martingale. The assumption is that there exists a conditional expectation operator on the vector lattice and the construction does not depend on a probability measure space. The classical case of the extended It么 integral is a special case of the constructed integral in the vector latticeNational Research Foundation (Grant No. 87502), South Afric

    EQUIMEASURABLE SETS IN RIESZ SPACES

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    The index for Fredholm elements in a Banach algebra via a trace II

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    summary:We show that the index defined via a trace for Fredholm elements in a Banach algebra has the property that an index zero Fredholm element can be decomposed as the sum of an invertible element and an element in the socle. We identify the set of index zero Fredholm elements as an upper semiregularity with the Jacobson property. The Weyl spectrum is then characterized in terms of the index
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