Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory

Released on by Raúl E. Curto
preview-18

  • Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory Book Detail

  • Author : Raúl E. Curto
  • Release Date : 2019-09-05
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 112
  • ISBN 13 : 1470436248
  • File Size : 59,59 MB
DOWNLOAD BOOK

Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory by Raúl E. Curto PDF Summary

Book Description: In this paper, the authors study matrix functions of bounded type from the viewpoint of describing an interplay between function theory and operator theory. They first establish a criterion on the coprime-ness of two singular inner functions and obtain several properties of the Douglas-Shapiro-Shields factorizations of matrix functions of bounded type. They propose a new notion of tensored-scalar singularity, and then answer questions on Hankel operators with matrix-valued bounded type symbols. They also examine an interpolation problem related to a certain functional equation on matrix functions of bounded type; this can be seen as an extension of the classical Hermite-Fejér Interpolation Problem for matrix rational functions. The authors then extend the H∞-functional calculus to an H∞¯¯¯¯¯¯¯¯¯+H∞-functional calculus for the compressions of the shift. Next, the authors consider the subnormality of Toeplitz operators with matrix-valued bounded type symbols and, in particular, the matrix-valued version of Halmos's Problem 5 and then establish a matrix-valued version of Abrahamse's Theorem. They also solve a subnormal Toeplitz completion problem of 2×2 partial block Toeplitz matrices. Further, they establish a characterization of hyponormal Toeplitz pairs with matrix-valued bounded type symbols and then derive rank formulae for the self-commutators of hyponormal Toeplitz pairs.

Disclaimer: www.yourbookbest.com does not own Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Compact Quotients of Cahen-Wallach Spaces

Compact Quotients of Cahen-Wallach Spaces

File Size : 3,3 MB
Total View : 5260 Views
DOWNLOAD

Indecomposable symmetric Lorentzian manifolds of non-constant curvature are called Cahen-Wallach spaces. Their isometry classes are described by continuous fami

Time-Like Graphical Models

Time-Like Graphical Models

File Size : 86,86 MB
Total View : 7020 Views
DOWNLOAD

The author studies continuous processes indexed by a special family of graphs. Processes indexed by vertices of graphs are known as probabilistic graphical mode