Everything about Composition operator

🧭 Start here: a 6-step reading path

1. Read the overview: Composition operatorA 5-minute orientation
2. Skim a recent paper: Resolvent of the parallel composition and the proximity operator of the infimal postcompositionInfluential work since 2022
3. Pick up a classic book: Challenges in Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials, Volume 2The most-reprinted book on the subject
4. Read the landmark paper: The Essential Norm of a Composition OperatorCited 278 times
5. Go sideways: Transfer operatorA closely related topic
6. Go sideways: Jacobi operatorA closely related topic

🏆 Landmark papers (most cited)

• The Essential Norm of a Composition Operator

  Joel H. Shapiro · 1987 · The Annals of Mathematics · 278 citations

• Composition operators isolated in the uniform operator topology

  Earl Berkson · 1981 · Proceedings of the American Mathematical Society · 73 citations

• Weighted composition operator on the Fock space

  Sei-ichiro Ueki · 2006 · Proceedings of the American Mathematical Society · 50 citations

• Spectrum of a composition operator

  William C. Ridge · 1973 · Proceedings of the American Mathematical Society · 22 citations

• Spectrum of a compact weighted composition operator

  Gajath Gunatillake · 2006 · Proceedings of the American Mathematical Society · 22 citations

• Rationing with baselines: the composition extension operator

  Jens Leth Hougaard, Juan D. Moreno-Ternero, Lars Peter Østerdal · 2013 · Annals of Operations Research · 20 citations

• Composition operator on Bloch type spaces

  Ζ. Lou · 2003 · Analysis · 16 citations

• Similarity to an isometry of a composition operator

  Frédéric Bayart · 2002 · Proceedings of the American Mathematical Society · 12 citations

🆕 Influential since 2022

• Resolvent of the parallel composition and the proximity operator of the infimal postcomposition

  Luis M. Briceño-Arias, Fernando Roldán · 2022 · Optimization Letters · 12 citations

• Closed Range and Preserving Frames of Weighted Composition Operator on Quaternionic Fock Space

  Yuxia Liang, Meicheng Liu · 2024 · Results in Mathematics · 5 citations

• Weighted composition operator on Gamma spaces with variable exponent

  Mehvish Sultan, Babar Sultan, René Erlin Castillo · 2024 · Journal of Pseudo-Differential Operators and Applications · 4 citations

• On a composition of Ismail–May operator

  Vijay Gupta, Vaibhav Sharma · 2024 · Mathematical Methods in the Applied Sciences · 3 citations

• A Linear Composition Operator on the Bloch Space

  Xiangling Zhu, Qinghua Hu · 2024 · Mathematics · 3 citations

📚 Books worth reading

• Challenges in Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials, Volume 2Bonnie Antoun · 2012
• Assessing readiness in military womenInstitute of Medicine (U.S.). Committee on Body Composition, Nutrition, and Health of Military Women., Nutrition, and Health of Military Women Committee on Body Composition · 1998
• Composite materialsLuigi Nicolais, Michele Meo · 2011
• Silicone Composite InsulatorsKonstantin O. Papailiou · 2012
• 📕Real time acousto-ultrasonic NDE technique for monitoring damage in ceramic composites under dynamic loadsAnil Tiwari · 1995
• Freedom flyersJ. Todd Moye · 2010
• Coating Substrates and TextilesAndreas Giessmann · 2012
• Composition operators on function spacesR. K. Singh · 1993

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

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