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  1. Uniqueness and spectral variation in Banach algebras

    Uniqueness and spectral variation in Banach algebras

    Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: G. Braatvedt --- Department of Mathematics, South Africa R. Brits --- Department of Mathematics, South Africa
    Let A be a complex semisimple Banach algebra with identity. We explore the situation whereby a portion of the elements of A have the same spectrum under multiplication by a ∈ A, as under multiplication by b ∈ A; and...
  2. On quotient rings of pointfree function rings

    On quotient rings of pointfree function rings

    Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Batsile Tlharesakgosi --- University of South Africa, South Africa Sharon Nyokabi Wamugunda --- University of South Africa, South Africa
    Let L be a completely regular frame. Associated with each I ∈ βL are two ideals, MI and OI , of the ring of real-valued continuous functions on a frame L. In this paper, we describe the intersection of all...