Abstract
A necessary and sufficient condition for an operator to be bounded in a Hilbert space or a finite dimensional subspace of a Hubert space is derived explicitly in terms of the matrix elements of the matrix representation of the opeator. An identical condition for boundedness is shown to apply for the case of bilinear functionals in the space.
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
