Sökning: "maximal ideal space"

Visar resultat 1 - 5 av 6 avhandlingar innehållade orden maximal ideal space.

  1. 1. Crossed Product Structures Associated with Topological Dynamical Systems

    Författare :Christian Svensson; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; maximal abelian subalgebra; commutant; C*-algebra; dynamical system; ideal; Banach algebra; Crossed product;

    Sammanfattning : We study connections between topological dynamical systems and associated algebras of crossed product type. We derive equivalences between structural properties of a crossed product and dynamical properties of the associated system and furthermore derive qualitative results concerning the crossed product that are true regardless of the corresponding dynamical system. LÄS MER

  3. 2. Ideals and boundaries in Algebras of Holomorphic functions

    Författare :Linus Carlsson; Anders Fällström; Jan Wiegerinck; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; maximal ideal space; the Gleason problem; generalized Shilov boundaries; Nebenhülle; the Koszul complex; Banach algebras of holomorphic functions; MATHEMATICS; MATEMATIK;

    Sammanfattning : We investigate the spectrum of certain Banach algebras. Properties like generators of maximal ideals and generalized Shilov boundaries are studied. LÄS MER

  4. 3. Contributions to certain problems in algebraic topology

    Författare :Juan M. Alonso; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebraisk topologi;

    Sammanfattning : We consider two problems. The first one is to determine when a fibration is also a (homotopy) cofibration. We use a classic result of T. Ganea to give a complete algebraic solution. LÄS MER

  5. 4. Topics in projective algebraic optimization

    Författare :Lukas Gustafsson; Sandra Di Rocco; Kathlén Kohn; Cordian Riener; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : This thesis explores optimization challenges within algebraic statistics, employing both topological and geometrical methodologies to derive new insights. The main focus is the optimization degree of nearest point and Gaussian maximum likelihood estimation problems with algebraic constraints. LÄS MER

  7. 5. Lefschetz properties and Jordan types of Artinian algebras

    Författare :Nasrin Altafi; Mats Boij; Martina Juhnke-Kubitzke; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Lefschetz properties; Jordan type; Hilbert function; Artinian algebra; Gorenstein algebra; Hessian;

    Sammanfattning : This thesis contains six papers concerned with studying the Lefschetz properties and Jordan types of linear forms for graded Artinian algebras. Lefschetz properties and Jordan types carry information about the ranks of multiplication maps by linear forms on graded Artinian algebras. LÄS MER