Spectral theory of bounded circular transformations

Weakly Periodic Sequences of Bounded Linear Transformations: a Spectral Characterization

Let X and Y be two Hilbert spaces, and L(X, Y ) the space of bounded linear transformations from X into Y . Let {An} ⊂ L(X, Y ) be a weakly periodic sequence of period T . Spectral theory of weakly periodic sequences in a Hilbert space is studied by H. L. Hurd and V. Mandrekar (1991). In this work we proceed further to characterize {An} by a positive measure μ and a number T of L(X, X)-valued f...

Invariant Points of Circular Transformations

A geometric construction is given for the invariant points of opposite circular transformations of a real Möbius, Minkowski or Laguerre plane.

Is There a Spectral Theory for All Bounded Linear Operators?

What Is Spectral Theory? By spectral theory we mean the theory of structure of certain bounded linear operators on a Hilbert space. In a broader sense, the history of spectral theory goes way back to the nineteenth century, when the objects of study used to be infinite systems of linear equations and integral equations. The subject was revolutionized in the late 1920s by von Neumann, when he de...

A Study on Properties of Dempster-Shafer Theory to Probability Theory transformations

In this paper, five conditions that have been proposed by Cobb and Shenoy are studied for nine different mappings from the Dempster-Shafer theory to the probability theory. After comparing these mappings, one of the considerable results indicates that none of the mappings satisfies the condition of invariance with respect to the marginalization process. In more details, the main reason for this...

Generalized Cayley Transformations of Bounded Symmetric Domains