Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/bounds-for-the-davis-wielandt-radius-of-bounded-linear-operators-PUwAwyNZaO
References (17)
-
Pintu Bhunia, Santanu Bag, K. Paul (2019)
Numerical radius inequalities and its applications in estimation of zeros of polynomialsLinear Algebra and its Applications
-
S. Dragomir (2015)
Reverses of Schwarz inequality in inner product spaces with applicationsMathematische Nachrichten, 288
-
Chi-Kwong Li, Y. Poon (2009)
SPECTRUM, NUMERICAL RANGE AND DAVIS-WIELANDT SHELL OF A NORMAL OPERATORGlasgow Mathematical Journal, 51
-
A. Zamani, K. Shebrawi (2019)
Some Upper Bounds for the Davis–Wielandt Radius of Hilbert Space OperatorsMediterranean Journal of Mathematics, 17
-
A. Zamani, M. Moslehian, M. Chien, H. Nakazato (2018)
Norm-parallelism and the Davis–Wielandt radius of Hilbert space operatorsLinear and Multilinear Algebra, 67
-
K. Paul, Santanu Bag (2012)
On Numerical Radius of a Matrix and Estimation of Bounds for Zeros of a PolynomialInt. J. Math. Math. Sci., 2012
-
K. Gustafson, D. Rao (1996)
Numerical Range: The Field Of Values Of Linear Operators And Matrices -
M. Sattari, M. Moslehian, Takeaki Yamazaki (2014)
Some generalized numerical radius inequalities for Hilbert space operatorsarXiv: Functional Analysis
-
Kais Feki, S. Mahmoud (2019)
Davis–Wielandt shells of semi-Hilbertian space operators and its applicationsBanach Journal of Mathematical Analysis, 14
-
F. Bonsall, J. Duncan (1973)
Numerical Ranges II -
P. Halmos (1967)
A Hilbert Space Problem Book -
Brian Lins, I. Spitkovsky, Siyu Zhong (2017)
The normalized numerical range and the Davis–Wielandt shellLinear Algebra and its Applications
-
F. Kittaneh (1988)
Notes on Some Inequalities for Hilbert Space OperatorsPublications of The Research Institute for Mathematical Sciences, 24
-
(1971)
Generalizzatione della diseguaglianza di Cauchy-Schwarz -
H. Wielandt (1955)
On eigenvalues of sums of normal matrices.Pacific Journal of Mathematics, 5
-
Li Chi-Kwong, Y. Poon, Nung-Sing Sze (2008)
DAVIS-WIELANDT SHELLS OF OPERATORSOperators and Matrices
-
S. Dragomir (2018)
Operator refinements of Schwarz inequality in inner product spacesLinear and Multilinear Algebra, 67
- Publisher
- Springer Journals
- Copyright
- Copyright © Tusi Mathematical Research Group (TMRG) 2020
- ISSN
- 2639-7390
- eISSN
- 2008-8752
- DOI
- 10.1007/s43034-020-00102-9
- Publisher site
- See Article on Publisher Site
Abstract
We obtain upper and lower bounds for the Davis–Wielandt radius of bounded linear operators defined on a complex Hilbert space, which improve on the existing ones. We also obtain bounds for the Davis–Wielandt radius of operator matrices. We determine the exact value of the Davis–Wielandt radius of some special type of operator matrices.
Journal
Annals of Functional Analysis – Springer Journals
Published: Nov 23, 2020