Some reverse and numerical radius inequalities
-
Mohsen Shah Hosseini
and
Mohsen Erfanian Omidvar
Abstract
In this paper, we present several numerical radius inequalities for Hilbert space operators. More
precisely, we prove if
Also, we have compared our results with some known outcomes.
Communicated by Werner Timmermann
References
[1] BUZANO, M. L.: Generalizzazione della disiguaglianza di Cauchy-Schwaz (italian), Rend. Semin. Mat. Univ. Politec. Torino 31 (1971/73) (1974), 405–409.Search in Google Scholar
[2] DRAGOMIR, S. S.: Reverse inequalities for the numerical radius of linear operators in Hilbert spaces, Bull. Aust. Math. Soc. 73(2) (2006), 255–26210.1017/S0004972700038831Search in Google Scholar
[3] DRAGOMIR, S. S.: Some inequalities for the norm and the numerical radius of linear operators in Hilbert Spaces, Tamkang J. Math. 39(1) (2008), 1–7.10.5556/j.tkjm.39.2008.40Search in Google Scholar
[4] DRAGOMIR, S. S.: Some refinements of Schwarz inequality, Suppozionul de Matematicasi Aplicatii, Polytechnical Institute Timisoara, Romania, 1-2 (1985), 13–16.Search in Google Scholar
[5] GUSTAFSON, K. E.—RAO, D. K. M.: Numerical Range, Springer-Verlag, New York, Inc., 1997.10.1007/978-1-4613-8498-4Search in Google Scholar
[6] HIRZALLAH, O.—KITTANEH, F.—SHEBRAWI, K.: Numerical radius inequalities for certain 2 x 2 operator matrices. Integr. Equ. Oper. Theory 71 (2011), 129–147.10.1007/s00020-011-1893-0Search in Google Scholar
[7] KITTANEH, F.: Norm inequalities for commutators of positive operators and applications, Math. Z. 258(4) (2008), 845–849.10.1007/s00209-007-0201-9Search in Google Scholar
[8] KITTANEH, F.: Numerical radius inequalities for Hilbert space operators, Studia Math. 168 (2005), 73–80.10.4064/sm168-1-5Search in Google Scholar
[9] HOSSEINI, M. S.—OMIDVAR, M. E.: Some inequalities for the numerical radius for Hilbert space operators, Bull. Aust. Math. Soc. 94(3) (2016), 489–496.10.1017/S0004972716000514Search in Google Scholar
© 2018 Mathematical Institute Slovak Academy of Sciences
Articles in the same Issue
- Prof. RNDr. Beloslav Riečan, DrSc., Dr.h.c. *NOV. 10, 1936 – †AUG. 13, 2018
- On the n × n × n Rubik's Cube
- Congruences involving alternating harmonic sums modulo pαqβ
- On the proximity of large primes
- On the factorizations of cubic polynomials with the same discriminant modulo a prime
- Some results on abstract convexity of functions
- Remarks on b-Metric and metric-preserving functions
- Generalization of Ostrowski inequality for convex functions
- On microscopic sets and Fubini Property in all directions
- New subfamily of meromorphic multivalent starlike functions in circular domain involving q-differential operator
- Application of tan(φ(ξ)/2)-expansion method to burgers and foam drainage equations
- Approximate sentinels for diffusion phenomena with pollution
- Remarks on a semilinear system in ℝn motivated by difference equations
- Oscillation tests for difference equations with several non-monotone deviating arguments
- On the regularity of one-sided fractional maximal functions
- A note on a Banach’s fixed point theorem in b-rectangular metric space and b-metric space
- A note about Volterra operator
- Some reverse and numerical radius inequalities
- A class of four-dimensional CR submanifolds in six dimensional nearly Kähler manifolds
- Sequential decreasing strong size properties
- Approximation of Information Divergences for Statistical Learning with Applications
- Wigner's theorem for an infinite set
- A note on automorphisms of lie ideals in prime rings
Articles in the same Issue
- Prof. RNDr. Beloslav Riečan, DrSc., Dr.h.c. *NOV. 10, 1936 – †AUG. 13, 2018
- On the n × n × n Rubik's Cube
- Congruences involving alternating harmonic sums modulo pαqβ
- On the proximity of large primes
- On the factorizations of cubic polynomials with the same discriminant modulo a prime
- Some results on abstract convexity of functions
- Remarks on b-Metric and metric-preserving functions
- Generalization of Ostrowski inequality for convex functions
- On microscopic sets and Fubini Property in all directions
- New subfamily of meromorphic multivalent starlike functions in circular domain involving q-differential operator
- Application of tan(φ(ξ)/2)-expansion method to burgers and foam drainage equations
- Approximate sentinels for diffusion phenomena with pollution
- Remarks on a semilinear system in ℝn motivated by difference equations
- Oscillation tests for difference equations with several non-monotone deviating arguments
- On the regularity of one-sided fractional maximal functions
- A note on a Banach’s fixed point theorem in b-rectangular metric space and b-metric space
- A note about Volterra operator
- Some reverse and numerical radius inequalities
- A class of four-dimensional CR submanifolds in six dimensional nearly Kähler manifolds
- Sequential decreasing strong size properties
- Approximation of Information Divergences for Statistical Learning with Applications
- Wigner's theorem for an infinite set
- A note on automorphisms of lie ideals in prime rings
