Abstract
The aim of this paper is to show that we can extend the notion ofconvergence in the norm‐resolvent senseto the case of several unbounded noncommuting operators (and to quaternionic operators as a particular case) using the notion ofS‐resolvent operator. With this notion, we can define bounded functions of unbounded operators using theS‐functional calculus forn‐tuples of noncommuting operators. The same notion can be extended to the case of theF‐resolvent operator, which is the basis of theF‐functional calculus, a monogenic functional calculus forn‐tuples of commuting operators. We also prove some properties of theF‐functional calculus, which are of independent interest. Copyright © 2013 John Wiley & Sons, Ltd.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
