ON THE ESTIMATION OF q–NUMERICAL RADIUS OF HILBERT SPACE OPERATORS
| dc.contributor.author | Patra, A. | |
| dc.contributor.author | Roy, F. | |
| dc.date.accessioned | 2026-02-04T12:24:38Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | The objective of this article is to estimate the q-numerical radius of bounded linear operators on complex Hilbert spaces. One of our main results states that for a bounded linear operator T in a Hilbert space H and q ∈ [0,1], the relation (Formula Presented) holds where w(T), w<inf>q</inf> (T) are the numerical radius and q-numerical radius of T respectively. Several refined new upper bounds follow from this result. Finally, the q-numerical radius of 2 × 2 operator matrices is explored and several new results are established. © 2024, Element D.O.O.. All rights reserved. | |
| dc.identifier.citation | Operators and Matrices, 2024, 18, 2, pp. 343-359 | |
| dc.identifier.issn | 18463886 | |
| dc.identifier.uri | https://doi.org/10.7153/oam-2024-18-21 | |
| dc.identifier.uri | https://idr.nitk.ac.in/handle/123456789/21066 | |
| dc.publisher | Element D.O.O. | |
| dc.subject | operator matrix | |
| dc.subject | q-numerical radius | |
| dc.subject | q-numerical range | |
| dc.title | ON THE ESTIMATION OF q–NUMERICAL RADIUS OF HILBERT SPACE OPERATORS |