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    •   etd@IISc
    • Division of Physical and Mathematical Sciences
    • Mathematics (MA)
    • Browsing Mathematics (MA) by Advisor
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    Browsing Mathematics (MA) by Advisor "Khare, Apoorva"

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      • Geometry of normed linear spaces in light of Birkhoff-James orthogonality 

        Bose, Babhrubahan
        In this thesis, we have tried to understand the geometry of normed spaces in the light of Birkhoff-James orthogonality. Using the first two chapters to give introductory notes and to establish relevant notations and ...
      • Positivity preservers forbidden to operate on diagonal blocks 

        Vishwakarma, Prateek Kumar
        The question of which functions acting entrywise preserve positive semidefiniteness has a long history, beginning with the Schur product theorem [Crelle 1911], which implies that absolutely monotonic functions (i.e., ...
      • Weights of highest weight modules over Kac-Moody algebras 

        Krishna Teja, G V
        In this dissertation, broadly, we treat the weight-sets of arbitrary highest weight modules (uniformly) over all general complex Kac-Moody Lie algebras $\mathfrak{g}$, achieving the below. We obtain a uniform, explicit, ...

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