Now showing items 1-6 of 6

    • Cluster Value Problems in Infinite-Dimensional Spaces 

      Ortega Castillo, Sofia (2014-08-05)
      In this dissertation we study cluster value problems for Banach algebras H(B) of analytic functions on the open unit ball B of a Banach space X that contain X* and 1. Solving cluster value problems requires understanding ...
    • Commutators on Banach Spaces 

      Dosev, Detelin (2010-10-12)
      A natural problem that arises in the study of derivations on a Banach algebra is to classify the commutators in the algebra. The problem as stated is too broad and we will only consider the algebra of operators acting on ...
    • Extensions and applications of infinite dimensional Banach space theory 

      Farmer, Jeffrey Darrell (Texas A&M University. Libraries, 1992)
      We examine some connections between Banach space theory and other areas of functional analysis such as Lipschitz functions on metric spaces, operator theory and holomorphic function theory. We give an intrinsic characterization ...
    • Fixed points and the sequence of iterates 

      Singh, Kanhaya Lal (Texas A&M University. Libraries, 1980)
      In this work notions involving continuous mappings of metric and topological linear spaces are developed. It is shown that if C is a closed, bounded, convex subset o f a convex metric space and F : C - C is a commuting ...
    • Operator Ideals in Lipschitz and Operator Spaces Categories 

      Chavez Dominguez, Javier (2012-10-19)
      We study analogues, in the Lipschitz and Operator Spaces categories, of several classical ideals of operators between Banach spaces. We introduce the concept of a Banach-space-valued molecule, which is used to develop a ...
    • Topics in the local theory of Banach spaces and nest algebras 

      Arias, Alvaro (Texas A&M University. Libraries, 1989)