Results 1 to 10 of about 458,761 (298)

On positive linear maps preserving invertibility

open access: yesJournal of Functional Analysis, 1984
A positive linear map \(\Phi\) between two \(C^*\)-algebras is a Jordan homomorphism if \(\Phi\) preserves invertibility and the range of \(\Phi\) is a \(C^*\)-algebra. A counterexample is given for the case that the range of \(\Phi\) is not assumed to be a \(C^*\)-algebra; this answers a question raised by \textit{B. Russo} [Proc. Am. Math. Soc.
Choi, M-D.   +4 more
openaire   +2 more sources

A note on inequalities for positive linear maps

open access: yesLinear Algebra and its Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sharma, Rajesh, Devi, P., Kumari, R.
openaire   +1 more source

Schmidt states and positivity of linear maps

open access: yes, 2005
Using pure entangled Schmidt states, we show that m-positivity of a map is bounded by the ranks of its negative Kraus matrices. We also give an algebraic condition for a map to be m-positive. We interpret these results in the context of positive maps as entanglement witnesses, and find that only 1-positive maps are needed for testing entanglement.
Kuah, Aik-meng, Sudarshan, E. C. G.
openaire   +2 more sources

Gruess inequality for some types of positive linear maps

open access: yesJournal of Operator Theory, 2015
Assuming a unitarily invariant norm $|||\cdot|||$ is given on a two-sided ideal of bounded linear operators acting on a separable Hilbert space, it induces some unitarily invariant norms $|||\cdot|||$ on matrix algebras $\mathcal{M}_n$ for all finite values of $n$ via $|||A|||=|||A\oplus 0|||$. We show that if $\mathscr{A}$ is a $C^*$-algebra of finite
Matharu, Jagjit Singh   +1 more
openaire   +2 more sources

Background independent tensor networks

open access: yesSciPost Physics
Conventional holographic tensor networks can be described as toy holographic maps constructed from many small linear maps acting in a spatially local way, all connected together with "background entanglement", i.e.
Chris Akers, Annie Y. Wei
doaj   +1 more source

Predicting aboveground forest biomass with topographic variables in human‐impacted tropical dry forest landscapes

open access: yesEcosphere, 2018
Topographic variables such as slope and elevation partially explain spatial variations in aboveground biomass (AGB) within landscapes. Human activities that impact vegetation, such as cattle grazing and shifting cultivation, often follow topographic ...
Miguel A. Salinas‐Melgoza   +2 more
doaj   +1 more source

A new proof for monotonicity of sandwiched Renyi relative entropy

open access: yes四川大学学报. 自然科学版, 2018
Itis well known that in quantum information quantum relative is monotonically decreasing under the completely positive and trace-preserving maps. For a new proposed sandwiched R\'enyi quantum relative, a map that is linear trace-preserving and whose ...
wang you le, Luo Maokang, DENG Ke
doaj  

Dimension of the set of positive solutions to nonlinear equations and applications

open access: yesElectronic Journal of Differential Equations, 2016
We study the covering dimension of the set of (positive) solutions to various classes of nonlinear equations involving condensing and A-proper maps. It is based on the nontriviality of the fixed point index of a certain condensing map or on oddness ...
Petronije S. Milojevic
doaj  

Measurement of the Full Shape of the Thermal Sunyaev–Zel’dovich Power Spectrum from the South Pole Telescope and Herschel–SPIRE Observations

open access: yesThe Astrophysical Journal Letters
We present a measurement of the full shape of the power spectrum of the thermal Sunyaev–Zel’dovich (tSZ) effect down to arcminute scales using cosmic microwave background (CMB) data from the South Pole Telescope (SPT) over a roughly 100 deg ^2 field. The
S. Raghunathan   +142 more
doaj   +1 more source

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