Composition Operators On Function Spaces (north-holland Mathematics Studies)
by R. K. Singh /
1993 / English / PDF
14.4 MB Download
This volume of the "Mathematics Studies" series presents work done
on composition operators during the last 25 years. Composition
operators form a simple but interesting class of operators having
interactions with different branches of mathematics and
mathematical physics. After an introduction, the book deals with
these operators on Lp-spaces. This study is useful in measurable
dynamics, ergodic theory, classical mechanics and Markov process.
The composition operators on functional Banach spaces (including
Hardy spaces) are studied in chapter III. This chapter makes
contact with the theory of analytic functions of complex variables.
Chapter IV presents a study of these operators on locally convex
spaces of continuous functions making contact with topological
dynamics. In the last chapter of the book some applications of
composition operators in isometries, ergodic theory and dynamical
systems are presented. An interesting interplay of algebra,
topology, and analysis is displayed. This comprehensive and
up-to-date study of composition operators on different function
spaces should appeal to research workers in functional analysis and
operator theory, postgraduate students of mathematics and
statistics, as well as to physicists and engineers.
This volume of the "Mathematics Studies" series presents work done
on composition operators during the last 25 years. Composition
operators form a simple but interesting class of operators having
interactions with different branches of mathematics and
mathematical physics. After an introduction, the book deals with
these operators on Lp-spaces. This study is useful in measurable
dynamics, ergodic theory, classical mechanics and Markov process.
The composition operators on functional Banach spaces (including
Hardy spaces) are studied in chapter III. This chapter makes
contact with the theory of analytic functions of complex variables.
Chapter IV presents a study of these operators on locally convex
spaces of continuous functions making contact with topological
dynamics. In the last chapter of the book some applications of
composition operators in isometries, ergodic theory and dynamical
systems are presented. An interesting interplay of algebra,
topology, and analysis is displayed. This comprehensive and
up-to-date study of composition operators on different function
spaces should appeal to research workers in functional analysis and
operator theory, postgraduate students of mathematics and
statistics, as well as to physicists and engineers.