A New Definition of bold0mu mumu tt2005/06/28 ver: 1.3 subfig packagetttt-Entropy for Transfer Operators

Global Well-Posedness for Certain Density-Dependent Modified-Leray-bold0mu mumu Models

An Extended Detailed Investigation of First and Second Order Supersymmetries for Off-Shell bold0mu mumu NNNNNN = 2 and bold0mu mumu NNNNNN = 4 Supermultiplets

This paper investigates the d = 4, N = 4 Abelian, global Super-Yang Mills system (SUSY-YM). It is shown how the N = 2 Fayet Hypermultiplet (FH) and N = 2 vector multiplet (VM) are embedded within. The central charges and internal symmetries provide a plethora of information as to further symmetries of the Lagrangian. Several of these symmetries are calculated to second order. It is hoped that i...

A New Definition of t-Entropy for Transfer Operators

A new definition of t-entropy for transfer operators The article presents a new definition of t-entropy that makes it more explicit and simplifies the process of its calculation. In the series of articles [1, 2, 3, 4, 5, 6] there have been established the variational principles for the spectral radii of weighted shift and transfer operators generated by an arbitrary dynamical system. These prin...

A Preferred Definition of Conditional Rényi Entropy

The Rényi entropy is a generalization of Shannon entropy to a one-parameter family of entropies. Tsallis entropy too is a generalization of Shannon entropy. The measure for Tsallis entropy is non-logarithmic. After the introduction of Shannon entropy , the conditional Shannon entropy was derived and its properties became known. Also, for Tsallis entropy, the conditional entropy was introduced a...

extend numerical radius for adjointable operators on Hilbert C^* -modules

In this paper, a new definition of numerical radius for adjointable operators in Hilbert -module space will be introduced. We also give a new proof of numerical radius inequalities for Hilbert space operators.