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Linda Patton (Winter 2013)

Reading with cats

Research Interests

I am most interested in problems in operator theory and complex analysis, particularly composition operators, numerical ranges, and Pick interpolation. Cal Poly students who are interested in a senior project involving linear algebra and/or complex analysis should contact me by email or during office hours.

Publications

  • "Some block Toeplitz composition operators", J. Math. Anal. Appl. Volume 400 (2) (2013), 363-376.

  • "Numerical ranges of cube roots of the identity", with T.R. Harris, M. Mazzella, D. Renfrew, I.M. Spitkovsky, Linear Algebra and its Applications , 435, (2011), 2639-2657.

  • "Norm inequalities for composition operators on Hardy and weighted Bergman spaces", with Christopher Hammond, Operator Theory Adv. Appl., 202 , Birkhauser Basel (2010), 265-272. .

  • "Approximating composition operator norms on the Dirichlet space", with Marian Robbins, J. Math. Anal. Appl. , Volume 339 (2) (2008), 1374-1385.

  • "On multivariable Fejér inequalities", with Mihai Putinar, Acta Sci Math. (Szeged) , 72 (2006), 129-134.

  • "Composition operators that are m-sometries", with Marian Robbins, Houston Journal of Mathematics, 31, no. 1, (2005), 255-266.

  • "Commutation relations for Toeplitz and Hankel matrices", with Caixing Gu, SIAM J. Matrix Anal. Appl. , 24, no. 3, (2003), 728-746.

  • "Caratheodory-Fejér interpolation on polydisks", with Jörg Eschmeier and Mihai Putinar, Math Research Letters , 7, (2000), 25-34.

  • "Some solutions of the matrix equation for Nevanlinna-Pick interpolation", Linear Algebra and its Applications , 254, (1997), 467-484.

  • "Interpolation of Nevanlinna-Pick type on the boundary of the bidisc", Complex Variables: Theory and Application , 24, no. 1-2, (1994), 107-120.