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6. Operator Inequalities for Positive Linear Maps

Author

Ghaemi, Mohammad Bagher, Gharakhanlu, Nahid, Rassias, Themistocles M., Saadati, Reza, Pardalos, Panos M., Series Editor, Thai, My T., Series Editor, Du, Ding-Zhu, Honorary Editor, Belavkin, Roman V., Advisory Editor, Birge, John R., Advisory Editor, Butenko, Sergiy, Advisory Editor, Kumar, Vipin, Advisory Editor, Nagurney, Anna, Advisory Editor, Pei, Jun, Advisory Editor, Prokopyev, Oleg, Advisory Editor, Rebennack, Steffen, Advisory Editor, Resende, Mauricio, Advisory Editor, Terlaky, Tamás, Advisory Editor, Vu, Van, Advisory Editor, Vrahatis, Michael N., Associate Editor, Xue, Guoliang, Advisory Editor, Ye, Yinyu, Advisory Editor, Ghaemi, Mohammad Bagher, Gharakhanlu, Nahid, Rassias, Themistocles M., and Saadati, Reza

Published
2021
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7. Inequalities for Sector Matrices

Author

Ghaemi, Mohammad Bagher, Gharakhanlu, Nahid, Rassias, Themistocles M., Saadati, Reza, Pardalos, Panos M., Series Editor, Thai, My T., Series Editor, Du, Ding-Zhu, Honorary Editor, Belavkin, Roman V., Advisory Editor, Birge, John R., Advisory Editor, Butenko, Sergiy, Advisory Editor, Kumar, Vipin, Advisory Editor, Nagurney, Anna, Advisory Editor, Pei, Jun, Advisory Editor, Prokopyev, Oleg, Advisory Editor, Rebennack, Steffen, Advisory Editor, Resende, Mauricio, Advisory Editor, Terlaky, Tamás, Advisory Editor, Vu, Van, Advisory Editor, Vrahatis, Michael N., Associate Editor, Xue, Guoliang, Advisory Editor, Ye, Yinyu, Advisory Editor, Ghaemi, Mohammad Bagher, Gharakhanlu, Nahid, Rassias, Themistocles M., and Saadati, Reza

Published
2021
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8. Positive Partial Transpose Matrix Inequalities

Author

Ghaemi, Mohammad Bagher, Gharakhanlu, Nahid, Rassias, Themistocles M., Saadati, Reza, Pardalos, Panos M., Series Editor, Thai, My T., Series Editor, Du, Ding-Zhu, Honorary Editor, Belavkin, Roman V., Advisory Editor, Birge, John R., Advisory Editor, Butenko, Sergiy, Advisory Editor, Kumar, Vipin, Advisory Editor, Nagurney, Anna, Advisory Editor, Pei, Jun, Advisory Editor, Prokopyev, Oleg, Advisory Editor, Rebennack, Steffen, Advisory Editor, Resende, Mauricio, Advisory Editor, Terlaky, Tamás, Advisory Editor, Vu, Van, Advisory Editor, Vrahatis, Michael N., Associate Editor, Xue, Guoliang, Advisory Editor, Ye, Yinyu, Advisory Editor, Ghaemi, Mohammad Bagher, Gharakhanlu, Nahid, Rassias, Themistocles M., and Saadati, Reza

Published
2021
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9. Elementary Linear Algebra Review

Author

Ghaemi, Mohammad Bagher, Gharakhanlu, Nahid, Rassias, Themistocles M., Saadati, Reza, Pardalos, Panos M., Series Editor, Thai, My T., Series Editor, Du, Ding-Zhu, Honorary Editor, Belavkin, Roman V., Advisory Editor, Birge, John R., Advisory Editor, Butenko, Sergiy, Advisory Editor, Kumar, Vipin, Advisory Editor, Nagurney, Anna, Advisory Editor, Pei, Jun, Advisory Editor, Prokopyev, Oleg, Advisory Editor, Rebennack, Steffen, Advisory Editor, Resende, Mauricio, Advisory Editor, Terlaky, Tamás, Advisory Editor, Vu, Van, Advisory Editor, Vrahatis, Michael N., Associate Editor, Xue, Guoliang, Advisory Editor, Ye, Yinyu, Advisory Editor, Ghaemi, Mohammad Bagher, Gharakhanlu, Nahid, Rassias, Themistocles M., and Saadati, Reza

Published
2021
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10. Operator Inequalities Involving Operator Monotone Functions

Author

Ghaemi, Mohammad Bagher, Gharakhanlu, Nahid, Rassias, Themistocles M., Saadati, Reza, Pardalos, Panos M., Series Editor, Thai, My T., Series Editor, Du, Ding-Zhu, Honorary Editor, Belavkin, Roman V., Advisory Editor, Birge, John R., Advisory Editor, Butenko, Sergiy, Advisory Editor, Kumar, Vipin, Advisory Editor, Nagurney, Anna, Advisory Editor, Pei, Jun, Advisory Editor, Prokopyev, Oleg, Advisory Editor, Rebennack, Steffen, Advisory Editor, Resende, Mauricio, Advisory Editor, Terlaky, Tamás, Advisory Editor, Vu, Van, Advisory Editor, Vrahatis, Michael N., Associate Editor, Xue, Guoliang, Advisory Editor, Ye, Yinyu, Advisory Editor, Ghaemi, Mohammad Bagher, Gharakhanlu, Nahid, Rassias, Themistocles M., and Saadati, Reza

Published
2021
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11. Interpolating the Arithmetic-Geometric Mean Inequality and Its Operator Version

Author

Ghaemi, Mohammad Bagher, Gharakhanlu, Nahid, Rassias, Themistocles M., Saadati, Reza, Pardalos, Panos M., Series Editor, Thai, My T., Series Editor, Du, Ding-Zhu, Honorary Editor, Belavkin, Roman V., Advisory Editor, Birge, John R., Advisory Editor, Butenko, Sergiy, Advisory Editor, Kumar, Vipin, Advisory Editor, Nagurney, Anna, Advisory Editor, Pei, Jun, Advisory Editor, Prokopyev, Oleg, Advisory Editor, Rebennack, Steffen, Advisory Editor, Resende, Mauricio, Advisory Editor, Terlaky, Tamás, Advisory Editor, Vu, Van, Advisory Editor, Vrahatis, Michael N., Associate Editor, Xue, Guoliang, Advisory Editor, Ye, Yinyu, Advisory Editor, Ghaemi, Mohammad Bagher, Gharakhanlu, Nahid, Rassias, Themistocles M., and Saadati, Reza

Published
2021
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12. Generalized reverse Young and Heinz inequalities

Author

Furuichi, Shigeru, Ghaemi, Mohammad Bagher, and Gharakhanlu, Nahid

Subjects
Mathematics - Classical Analysis and ODEs, 15A39, 47A63, 47A60 and 47A64
Abstract

In this paper, we study the further improvements of the reverse Young and Heinz inequalities for the wider range of $v$, namely $v\in \mathbb{R}$. These modified inequalities are used to establish corresponding operator inequalities on a Hilbert space., Comment: The assumption $a,b \ge 0$ in original article was often modified as $a, b >0$

Published
2018
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14. On reverses of the Golden-Thompson type inequalities

Author

Ghaemi, Mohammad Bagher, Kaleibary, Venus, and Furuichi, Shigeru

Subjects
Mathematics - Functional Analysis
Abstract

In this paper we present some reverses of the Golden-Thompson type inequalities: Let $H$ and $K$ be Hermitian matrices such that $ e^s e^H \preceq_{ols} e^K \preceq_{ols} e^t e^H$ for some scalars $s \leq t$, and $\alpha \in [0 , 1]$. Then for all $p>0$ and $k =1,2,\ldots, n$ \begin{align*} \label{} \lambda_k (e^{(1-\alpha)H + \alpha K} ) \leq (\max \lbrace S(e^{sp}), S(e^{tp})\rbrace)^{\frac{1}{p}} \lambda_k (e^{pH} \sharp_\alpha e^{pK})^{\frac{1}{p}}, \end{align*} where $A\sharp_\alpha B = A^\frac{1}{2} \big ( A^{-\frac{1}{2}} B^\frac{1}{2} A^{-\frac{1}{2}} \big) ^\alpha A^\frac{1}{2}$ is $\alpha$-geometric mean, $S(t)$ is the so called Specht's ratio and $\preceq_{ols}$ is the so called Olson order. The same inequalities are also provided with other constants. The obtained inequalities improve some known results.

Published
2017

22. On the global existence solution for a chemotaxis model

Author

Hatami, Farhad and Ghaemi, Mohammad Bagher

Subjects
Mathematics - Analysis of PDEs, Mathematics - Functional Analysis
Abstract

This paper has been withdrawn by the authors. We consider the attraction-repulsion chemotaxis system (3 complicated PDEs system) under homogeneous Neumann boundary conditions in a bounded domain {\Omega} with smooth boundary, then the classical solutions to the system are uniformly-in-time bounded. After the local existence and uniqueness of solutions was proved, some priory estimates and proves will be established for the global existence of solutions (see the complete abstract in the PDF version of paper)., Comment: This paper has been withdrawn by the authors. Please withdrow this immediately. we have a big great scientific problem in hole of paper. please delet it immediately

Published
2013

27. α-Whittaker controllability of ϑ-Hilfer fractional stochastic evolution equations driven by fractional Brownian motion.

Author

Ghaemi, Mohammad Bagher, Mottaghi, Fatemeh, Saadati, Reza, and Allahviranloo, Tofigh

Subjects
EVOLUTION equations, BROWNIAN motion, WHITTAKER functions
Abstract

In this paper, we study the fractional-order system in the sense of ϑ -Hilfer fractional stochastic evolution equations driven by fractional Brownian motion. Applying the fixed point technique, we prove that there exists a mild solution for the problem and introduce a new type of stability. Finally, we present two examples to demonstrate how the obtained results might be applied. [ABSTRACT FROM AUTHOR]

Published
2023
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42. Ergodic properties of pseudo-differential operators on compact Lie groups.

Author

Faghih, Zahra and Ghaemi, Mohammad Bagher

Subjects
LIE groups, PSEUDODIFFERENTIAL operators, MATHEMATICAL formulas, VECTORS (Calculus), GENERALIZATION
Abstract

Let G be a compact Lie group. This article shows that a contraction pseudo-differential operator Aτ on L p (G) has a Dominated Ergodic Estimate (DEE), and is trigonometrically well-bounded. Then we express ergodic generalization of the Vector-Valued M. Riesz theorem for invertible contraction pseudo-differential operator Aτ on L p (G). For this purpose, we show that Aτ is a Lamperti operator. Then we find a formula for its symbols τ . According to this formula, a representation for the symbol of adjoint and products is given. [ABSTRACT FROM AUTHOR]

Published
2022
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