Aspects of non-commutative function theory

• Autorzy: Jim Agler , John E. McCarthy
• Języki publikacji: EN

Abstrakty

EN

We discuss non commutative functions, which naturally arise when dealing with functions of more than one matrix variable.

Słowa kluczowe

EN

Noncommutative function; Free holomorphic function

• Wydawca: De Gruyter Open
• Czasopismo: Concrete Operators
• Rocznik: 2016
• Tom: 3
• Numer: 1
• Strony: 15-24

Daty

otrzymano

2015-10-30

zaakceptowano

2016-02-10

online

2016-04-11

Twórcy

autor

Jim Agler

• U.C. San Diego, La Jolla, CA 92093, USA

autor

John E. McCarthy

• Washington University, St. Louis, MO 63130, USA

Bibliografia

• [1] Agler, J., McCarthy, J.E., Non-commutative functional calculus, Journal d’Analyse, to appear. arXiv:1504.07323,
• [2] Agler, J., McCarthy, J.E., Global holomorphic functions in several non-commuting variables, 2015, Canad. J. Math., 67, 2, 241–285,
• [3] Agler, J., McCarthy, J.E., Non-commutative holomorphic functions on operator domains, 2015, European J. Math, 1, 4, 731–745,
• [4] Agler, J., McCarthy, J.E., The implicit function theorem and free algebraic sets, 2016, Trans. Amer. Math. Soc., 368, 5, 3157–3175,
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Identyfikatory

DOI

10.1515/conop-2016-0003