Results 11 to 20 of about 331 (39)

Lipschitz Extensions to Finitely Many Points

Analysis and Geometry in Metric Spaces, 2018
We consider Lipschitz maps with values in quasi-metric spaces and extend such maps to finitely many points. We prove that in this context every 1-Lipschitz map admits an extension such that its Lipschitz constant is bounded from above by the number of ...
Basso Giuliano
doaj   +1 more source

THE GROTHENDIECK CONSTANT IS STRICTLY SMALLER THAN KRIVINE’S BOUND

Forum of Mathematics, Pi, 2013
The (real) Grothendieck constant ${K}_{G} $ is the infimum over those $K\in (0, \infty )$ such that for every $m, n\in \mathbb{N} $ and every $m\times n$ real matrix $({a}_{ij} )$ we have $$\begin{eqnarray*}\displaystyle \max _{\{ x_{i}\} _{i= 1}^{m} , \{
MARK BRAVERMAN, KONSTANTIN MAKARYCHEV, YURY MAKARYCHEV, ASSAF NAOR   +3 more
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Schr\"odinger uncertainty relation, Wigner-Yanase-Dyson skew information and metric adjusted correlation measure [PDF]

, 2012
In this paper, we give a Schr\"odinger-type uncertainty relation using the Wigner-Yanase-Dyson skew information. In addition, we give Schr\"odinger-type uncertainty relation by use of a two-parameter extended correlation measure.
Audenaert, Bhatia, Cai, Furuichi, Furuichi, Gibilisco, Gibilisco, Gibilisco, Gibilisco, Gibilisco, Gibilisco, Hansen, Heisenberg, Kenjiro Yanagi, Kosaki, Kubo, Lieb, Luo, Luo, Luo, Luo, Luo, Miyadera, Nielsen, Petz, Petz, Petz, Petz, Robertson, Schrödinger, Shigeru Furuichi, Tomamichel, Uchiyama, Volovich, Wigner, Yanagi, Yanagi, Yanagi, Yanagi   +38 more
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Bounds of the logarithmic mean [PDF]

, 2013
We give tight bounds for logarithmic mean. We also give new Frobenius norm inequalities for two positive semidefinite matrices. In addition, we give some matrix inequalities on matrix power mean.Comment: The second assertion in (i) of Proposition 5.2 was
Furuichi, Shigeru, Yanagi, Kenjiro
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Nilpotent Completely Positive Maps [PDF]

, 2013
We study the structure of nilpotent completely positive maps in terms of Choi-Kraus coefficients. We prove several inequalities, including certain majorization type inequalities for dimensions of kernels of powers of nilpotent completely positive maps ...
Bhat, B V Rajarama, Mallick, Nirupama
core   +1 more source

Unitarily invariant norm inequalities for some means [PDF]

, 2014
We introduce some symmetric homogeneous means, and then show unitarily invariant norm inequalities for them, applying the method established by Hiai and Kosaki.
Furuichi, Shigeru
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Extensions of Three Matrix Inequalities to Semisimple Lie Groups

Special Matrices, 2014
We give extensions of inequalities of Araki-Lieb-Thirring, Audenaert, and Simon, in the context ofsemisimple Lie groups.
Liu Xuhua, Tam Tin-Yau
doaj   +1 more source

Alternative reverse inequalities for Young's inequality

, 2011
Two reverse inequalities for Young's inequality were shown by M. Tominaga, using Specht ratio. In this short paper, we show alternative reverse inequalities for Young's inequality without using Specht ratio.Comment: The constant in the right hand side ...
Furuichi, Shigeru, Minculete, Nicuşor
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On the S-matrix conjecture

, 2013
Motivated with a problem in spectroscopy, Sloane and Harwit conjectured in 1976 what is the minimal Frobenius norm of the inverse of a matrix having all entries from the interval [0, 1].
Drnovšek, Roman
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Determinantal and eigenvalue inequalities for matrices with numerical ranges in a sector

, 2013
Let $A = \pmatrix A_{11} & A_{12} \cr A_{21} & A_{22}\cr\pmatrix \in M_n$, where $A_{11} \in M_m$ with $m \le n/2$, be such that the numerical range of $A$ lies in the set $\{e^{i\varphi} z \in \IC: |\Im z| \le (\Re z) \tan \alpha\}$, for some $\varphi ...
Li, Chi-Kwong, Sze, Nung-Sing
core   +1 more source