3 citations · 7 across the 20 of their papers we have counts for
14 papers · 1 filter
Translation invariant state and its mean entropy-I
Anilesh Mohari
Let $\IM =\otimes_{n \in \IZ}\!M^{(n)}(\IC)$ be the two sided infinite tensor product -algebra of dimensional matrices $\!M^{(n)}(\IC)=\!M_d(\IC)$ over the field of comple…
Translation invariant pure state on $\otimes_{\IZ}/!M_d(\IC)$ and Haag duality
Anilesh Mohari
We prove Haag duality property of any translation invariant pure state on $\clb = \otimes_{\IZ}/!M_d(\IC), \;d \ge 2$, where $/!M_d(\IC)$ is the set of dimensional mat…
Translation invariant pure state on $\clb=\otimes_{\IZ}M_d(\IC)$ and its split property
Anilesh Mohari
We prove that a real lattice symmetric reflection positive translation invariant pure state of $\clb=\otimes_{\IZ}M_d(\IC)$ is a split state if its two points spatial correlations…
Isomorphism theorem for Kolmogorov states of $\clb = \dsp{\otimes_{j \in \IZ}}\!M^{(j)}_d(\IC)$
Anilesh Mohari
We consider the translation dynamics on the -algebra $\IM =\otimes_{n \in \IZ}\!M^{(n)}(\IC)$ of two sided infinite tensor product of dimensional matrices $\!M^{(n)}(\IC)=…
Hann-Banach-Arveson extension theorem and Kadison isomorphism
Anilesh Mohari
Let $C^*(\cls)$ be the algebra generated by an operator system $\cls$ i.e. a unital -closed subspace of a unital algebra $\cla$. We prove that any complete order iso…
Extremal unital completely positive normal maps and its symmetries
Anilesh Mohari
We consider the convex set of ( unital ) positive ( completely ) maps from a algebra $\cla$ to a von-Neumann sub-algebra $\clm$ of $\clb(\clh)$, the algebra of bounded linear…