Positive Operator Semigroups From Finite to Infinite Dimensions /

• Main Authors: Bátkai, András (Author), Kramar Fijavž, Marjeta (Author), Rhandi, Abdelaziz (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
• Series: Operator Theory: Advances and Applications, 257
• Subjects: Mathematics.; Matrix theory.; Algebra.; Operator theory.; Operator Theory.; Linear and Multilinear Algebras, Matrix Theory.

This book gives a gentle but up-to-date introduction into the theory of operator semigroups (or linear dynamical systems), which can be used with great success to describe the dynamics of complicated phenomena arising in many applications. Positivity is a property which naturally appears in physical...

Table of Contents:

• 1 An Invitation to Positive Matrices
• 2 Functional Calculus
• 3 Powers of Matrices
• 4 Matrix Exponential Function
• 5 Positive Matrices
• 6 Applications of Positive Matrices
• 7 Positive Matrix Semigroups and Applications
• 8 Positive Linear Systems
• 9 Banach Lattices
• 10 Positive Operators
• 11 Operator Semigroups
• 12 Generation Properties
• 13 Spectral Theory for Positive Semigroups I
• 14 Spectral Theory for Positive Semigroups II
• 15 An application to linear transport equations
• Appendices
• Index.