Transfer Operators, Endomorphisms, and Measurable Partitions

Front Matter ....Pages i-x
 Introduction and Examples  (Sergey Bezuglyi, Palle E. T. Jorgensen)....Pages 1-12
 Endomorphisms and Measurable Partitions  (Sergey Bezuglyi, Palle E. T. Jorgensen)....Pages 13-21
 Positive, and Transfer, Operators on Measurable Spaces: General Properties  (Sergey Bezuglyi, Palle E. T. Jorgensen)....Pages 23-38
 Transfer Operators on Measure Spaces  (Sergey Bezuglyi, Palle E. T. Jorgensen)....Pages 39-58
 Transfer Operators on L1 and L2  (Sergey Bezuglyi, Palle E. T. Jorgensen)....Pages 59-76
 Actions of Transfer Operators on the Set of Borel Probability Measures  (Sergey Bezuglyi, Palle E. T. Jorgensen)....Pages 77-83
 Wold’s Theorem and Automorphic Factors of Endomorphisms  (Sergey Bezuglyi, Palle E. T. Jorgensen)....Pages 85-92
 Operators on the Universal Hilbert Space Generated by Transfer Operators  (Sergey Bezuglyi, Palle E. T. Jorgensen)....Pages 93-104
 Transfer Operators with a Riesz Property  (Sergey Bezuglyi, Palle E. T. Jorgensen)....Pages 105-111
 Transfer Operators on the Space of Densities  (Sergey Bezuglyi, Palle E. T. Jorgensen)....Pages 113-117
 Piecewise Monotone Maps and the Gauss Endomorphism  (Sergey Bezuglyi, Palle E. T. Jorgensen)....Pages 119-132
 Iterated Function Systems and Transfer Operators  (Sergey Bezuglyi, Palle E. T. Jorgensen)....Pages 133-142
 Examples  (Sergey Bezuglyi, Palle E. T. Jorgensen)....Pages 143-149
Back Matter ....Pages 151-162