The Experts below are selected from a list of 12855 Experts worldwide ranked by ideXlab platform
Mohammad Sal Moslehian - One of the best experts on this subject based on the ideXlab platform.
-
norm inequalities related to the heron and heinz means
arXiv: Functional Analysis, 2017Co-Authors: Yogesh Kapil, Mohammad Sal Moslehian, Cristian Conde, Mandeep Singh, Mohammad SababhehAbstract:In this article, we present several inequalities treating operator means and the Cauchy-Schwarz Inequality. In particular, we present some new comparisons between operator Heron and Heinz means, several generalizations of the difference version of the Heinz means and further refinements of the Cauchy-Schwarz Inequality. The techniques used to accomplish these results include convexity and Lowner matrices.
-
Some Reverses of the Cauchy-Schwarz Inequality for Complex Functions of Self-adjoint Operators in Hilbert spaces
Mathematical Inequalities & Applications, 2014Co-Authors: Sever S Dragomir, Mohammad Sal Moslehian, Yeol Je ChoAbstract:We give some ratio and difference reverses of the Cauchy–Schwarz Inequality for complex functions of self-adjoint operators in Hilbert spaces, under suitable assumptions for the involved operators. Several examples for particular functions of interest are provided as well. Mathematics subject classification (2010): 47A63, 47A99.
-
cauchy schwarz Inequality in semi inner product c modules via polar decomposition
Journal of Mathematical Analysis and Applications, 2012Co-Authors: Jun Ichi Fujii, Masatoshi Fujii, Mohammad Sal Moslehian, Yuki SeoAbstract:Abstract By virtue of the operator geometric mean and the polar decomposition, we present a new Cauchy–Schwarz Inequality in the framework of semi-inner product C ∗ -modules over unital C ∗ –algebras and discuss the equality case. We also give several additive and multiplicative type reverses of it. As an application, we present a Kantorovich type Inequality on a Hilbert C ∗ -module.
-
Cauchy–Schwarz Inequality in semi-inner product C∗-modules via polar decomposition
Journal of Mathematical Analysis and Applications, 2012Co-Authors: Jun Ichi Fujii, Masatoshi Fujii, Mohammad Sal Moslehian, Yuki SeoAbstract:Abstract By virtue of the operator geometric mean and the polar decomposition, we present a new Cauchy–Schwarz Inequality in the framework of semi-inner product C ∗ -modules over unital C ∗ –algebras and discuss the equality case. We also give several additive and multiplicative type reverses of it. As an application, we present a Kantorovich type Inequality on a Hilbert C ∗ -module.
-
A treatment of the Cauchy–Schwarz Inequality in C⁎-modules
Journal of Mathematical Analysis and Applications, 2011Co-Authors: Ljiljana Arambašić, Damir Bakić, Mohammad Sal MoslehianAbstract:Abstract We study the Cauchy–Schwarz and some related inequalities in a semi-inner product module over a C ⁎ -algebra A . The key idea is to consider a semi-inner product A -module as a semi-inner product A -module with respect to another semi-inner product. In this way, we improve some inequalities such as the Ostrowski Inequality and an Inequality related to the Gram matrix. The induced semi-inner products are also related to the notion of covariance and variance. Furthermore, we obtain a sequence of nested inequalities that emerges from the Cauchy–Schwarz Inequality. As a consequence, we derive some interesting operator-theoretical corollaries. In particular, we show that the sequence arising from our construction, when applied to a positive invertible element of a C ⁎ -algebra, converges to its inverse.
Yuki Seo - One of the best experts on this subject based on the ideXlab platform.
-
Operator inequalities on Hilbert C*-modules via the Cauchy-Schwarz Inequality
Mathematical Inequalities & Applications, 2014Co-Authors: Jun Ichi Fujii, Masatoshi Fujii, Yuki SeoAbstract:By means of a new Cauchy-Schwarz Inequality in the framework of a semi-inner product C ∗ -module over a unital C∗ -algebra, we discuss some operator inequalities on a Hilbert C ∗ module, for example, Kantorovich inequaity, Polya-Szego Inequality, the covariance-variance Inequality, Ozeki-Izumino-Mori-Seo Inequality, Wielandt Inequality, Hienz-Kato-Furuta Inequality and Malamud Inequality. Mathematics subject classification (2010): Primary 46L08; Secondary 47A30, 47A63, 47A64.
-
cauchy schwarz Inequality in semi inner product c modules via polar decomposition
Journal of Mathematical Analysis and Applications, 2012Co-Authors: Jun Ichi Fujii, Masatoshi Fujii, Mohammad Sal Moslehian, Yuki SeoAbstract:Abstract By virtue of the operator geometric mean and the polar decomposition, we present a new Cauchy–Schwarz Inequality in the framework of semi-inner product C ∗ -modules over unital C ∗ –algebras and discuss the equality case. We also give several additive and multiplicative type reverses of it. As an application, we present a Kantorovich type Inequality on a Hilbert C ∗ -module.
-
Cauchy–Schwarz Inequality in semi-inner product C∗-modules via polar decomposition
Journal of Mathematical Analysis and Applications, 2012Co-Authors: Jun Ichi Fujii, Masatoshi Fujii, Mohammad Sal Moslehian, Yuki SeoAbstract:Abstract By virtue of the operator geometric mean and the polar decomposition, we present a new Cauchy–Schwarz Inequality in the framework of semi-inner product C ∗ -modules over unital C ∗ –algebras and discuss the equality case. We also give several additive and multiplicative type reverses of it. As an application, we present a Kantorovich type Inequality on a Hilbert C ∗ -module.
Paul D. Lett - One of the best experts on this subject based on the ideXlab platform.
-
Violation of the Cauchy-Schwarz Inequality in the macroscopic regime.
Physical review letters, 2008Co-Authors: Alberto M. Marino, Vincent Boyer, Paul D. LettAbstract:We have observed a violation of the Cauchy-Schwarz Inequality in the macroscopic regime by more than 8 standard deviations. The violation has been obtained while filtering out only the low-frequency noise of the quantum-correlated beams that results from the technical noise of the laser used to generate them. We use bright intensity-difference squeezed beams produced by four-wave mixing as the source of the correlated fields. We also demonstrate that squeezing does not necessarily imply a violation of the Cauchy-Schwarz Inequality.
-
Violation of Cauchy-Schwarz Inequality in Continuous-Variable Regime
Frontiers in Optics 2007 Laser Science XXIII Organic Materials and Devices for Displays and Energy Conversion, 2007Co-Authors: Alberto M. Marino, Vincent Boyer, Paul D. LettAbstract:We have observed a violation of the Cauchy-Schwarz Inequality in the continuous-variable regime with the use of bright relative-intensity squeezed beams. The relation between the squeezing spectrum and the g(2)functions is studied.
T. Uematsu - One of the best experts on this subject based on the ideXlab platform.
-
Positivity constraints on photon structure functions
Physics Letters B, 2001Co-Authors: K. Sasaki, J. Soffer, T. UematsuAbstract:We investigate the positivity constraints for the structure functions of both virtual and real photon. From the Cauchy-Schwarz Inequality we derive three positivity conditions for the general virtual photon case, which reduce, in the real photon case, to one condition relating the polarized and unpolarized structure functions.
Tayebe Lal Shateri - One of the best experts on this subject based on the ideXlab platform.
-
On the Cauchy–Schwarz Inequality and its reverse in 2-*-semi inner product spaces
Arabian Journal of Mathematics, 2018Co-Authors: B. Mohebbi Najmabadi, Tayebe Lal ShateriAbstract:In this paper, we investigate the \({\mathcal {A}}\)-valued Cauchy–Schwarz Inequality and its reverse in a 2-semi inner product \( {\mathcal {A}}\)-module over a locally \(C^*\)-algebra \( {\mathcal {A}}\).