The Taylor spectrum and transversality for a Heisenberg algebra of operators

Date

2010-03-01

Author

Dosi, A. A.

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A problem on noncommutative holomorphic functional calculus is considered for a Banach module over a finite-dimensional nilpotent Lie algebra. As the main result, the transversality property of algebras of noncommutative holomorphic functions with respect to the Taylor spectrum is established for a family of bounded linear operators generating a Heisenberg algebra.

Subject Keywords

Algebra and Number Theory

URI

https://hdl.handle.net/11511/63620

Journal

SBORNIK MATHEMATICS

DOI

https://doi.org/10.1070/sm2010v201n03abeh004076

Collections

Graduate School of Marine Sciences, Article

Citation Formats

A. A. Dosi, “The Taylor spectrum and transversality for a Heisenberg algebra of operators,” SBORNIK MATHEMATICS, vol. 201, pp. 355–375, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63620.