Composition logarithm in the class of formal operator power series

DOI10.1007/BF01075274zbMath0941.47018OpenAlexW2065450807MaRDI QIDQ1316819

M. N. Araslanov, Yuri L. Daletskii

Publication date: 12 April 1994

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01075274

zbMATH Keywords

semigroupcomposition operationlinear topological spacescategory with morphismscomposition exponentialcomposition logarithmdifferentiation along the vector fieldtopology of componentwise convergence

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Groups and semigroups of linear operators (47D03) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) General theory of linear operators (47A99) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)

Cites Work

• Two remarks on the asymptotic Hopf invariant

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