Non Commutative Functional Calculus: Bounded Operators

Complex Analysis and Operator Theory

Volumn 4, Issue 4, 2010, Pages 821-843

  Colombo, Fabrizio ^a   Gentili, Graziano ^b   Sabadini, Irene ^a   Struppa, Daniele C ^c  

^a POLITECNICO DI MILANO   (Italy)

^b UNIVERSITY OF FLORENCE   (Italy)

^c CHAPMAN UNIVERSITY   (United States)

Author keywords

Bounded operators; Functional calculus; Spectral theory

Indexed keywords

EID: 77954376185     PISSN: 16618254     EISSN: 16618262     Source Type: Journal    
DOI: 10.1007/s11785-009-0015-3     Document Type: Article

References (11)

1. Adler S.: Quaternionic Quantum Field Theory. Oxford University Press, New York (1995).
2. Colombo F., Sabadini I., Sommen F., Struppa D. C.: Analysis of Dirac Systems and Computational Algebra. Progress in Mathematical Physics, vol. 39. Birkhäuser, Boston (2004).
3. Colombo F., Sabadini I., Struppa D. C.: A new functional calculus for noncommuting operators. J. Funct. Anal. 254, 2255-2274 (2008).
4. Dunford N., Schwartz J.: Linear Operators, Part I: General Theory. Wiley, New York (1988).
5. Gentili G., Struppa D. C.: A new approach to Cullen-regular functions of a quaternionic variable. C. R. Acad. Sci. Paris 342, 741-744 (2006).
6. Gentili G., Struppa D. C.: A new theory of regular functions of a quaternionic variable. Adv. Math. 216, 279-301 (2007).
7. Jefferies B.: Spectral Properties of Noncommuting Operators. Lecture Notes in Mathematics, 1843. Springer-Verlag, Berlin (2004).
8. Rudin W.: Functional Analysis. McGraw-Hill Series in Higher Mathematics. McGraw-Hill Book Co., New York-Düsseldorf-Johannesburg (1973).
9. Stoppato, C.: Poles of regular quaternionic functions. Complex Var. Elliptic Equ. (2009) (in press).
10. Taylor J. L.: The analytic-functional calculus for several commuting operators. Acta Math. 125, 1-38 (1970).
11. Taylor J. L.: Functions of several noncommuting variables. Bull. Amer. Math. Soc. 79, 1-34 (1973).