• The absolute functional calculus for sectorial operators 

    Kucherenko, Tamara (University of Missouri--Columbia, 2005)
    We introduce the absolute functional calculus for sectorial operators. This notion is stronger than the common holomorphic functional calculus. We are able to improve a key theorem related to the maximal regularity problem ...
  • Asymptotic unconditionality in Banach spaces 

    Cowell, Simon, 1977- (University of Missouri--Columbia, 2009)
    We show that a separable real Banach space embeds almost isometrically in a space [Upsilon] with a shrinking 1-unconditional basis if and only if lim [subscript n] [subscript arrow] [subscript infinity] [norms] [chi] [group ...
  • Geometric and nonlinear limit theorems in probability theory 

    Fresen, Daniel John (University of Missouri--Columbia, 2012)
    The concentration of measure phenomenon is a nonlinear equivalent of the law of large numbers that deals with real valued Lipschitz functions and includes linear functionals such as the sample mean. In the first part of ...