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pro vyhledávání: '"U, Vijaya Kumar"'
Autor:
Rastogi, Shubham, U, Vijaya Kumar
We find the commutant of a pure contractive semigroup on a Hilbert space. We demonstrate that any tuple of doubly commuting pure contractive semigroups can be dilated to a tuple of doubly commuting pure isometric semigroups. En route, we obtain a com
Externí odkaz:
http://arxiv.org/abs/2407.19935
We consider holomorphic functions on the unit disc whose images are contained in a strip of the complex plane. Under an additional condition, such functions are constants. We also consider appropriate operator valued versions. Applications are found
Externí odkaz:
http://arxiv.org/abs/2406.02901
Let $\E$ be a finite dimensional Hilbert space. This note finds all factorizations of the right shift semigroup $\S^\E=(S_t^\E)_{t\ge 0}$ on $L^2(\R_+,\E)$ into the product of $n$ commuting contractive semigroups, i.e., characterizes all $n$-tuples o
Externí odkaz:
http://arxiv.org/abs/2306.15343
Structures of commuting semigroups of isometries under certain additional assumptions like double commutativity or dual double commutativity are found.
Externí odkaz:
http://arxiv.org/abs/2306.14183
The study of a pair $(V_1,V_2)$ of commuting isometries is a classical theme. We shine new light on it by using the defect operator. In the cases when the defect operator is zero or positive or negative, or the difference of two mutually orthogonal p
Externí odkaz:
http://arxiv.org/abs/2105.02134
Autor:
Bhat, B V Rajarama, U, Vijaya Kumar
W. Paschke's version of Stinespring's theorem associates a Hilbert $C^*$-module along with a generating vector to every completely positive map. Building on this, to every quantum dynamical semigroup (QDS) on a $C^*$-algebra $\mathcal A$ one may asso
Externí odkaz:
http://arxiv.org/abs/1908.04098
Publikováno v:
Linear Algebra and its Applications Volume 587, 15 February 2020, Pages 143-165
We introduce the concept of completely positive roots of completely positive maps on operator algebras. We do this in different forms: as asymptotic roots, proper discrete roots and as continuous one-parameter semigroups of roots. We present structur
Externí odkaz:
http://arxiv.org/abs/1812.08123
Autor:
Kiran Kumar Banothu, DM, Jhuma Sankar, MD, U. Vijaya Kumar, DM, Priyanka Gupta, MD, Mona Pathak, PhD, Kana Ram Jat, MD, Sushil Kumar Kabra, MD, Rakesh Lodha, MD
Publikováno v:
Critical Care Explorations, Vol 5, Iss 1, p e0815 (2023)
OBJECTIVES:. Our objective was to compare norepinephrine plus dobutamine versus epinephrine as the first-line agent in children with fluid refractory cold septic shock. DESIGN:. Open-label randomized controlled study. SETTING:. A single-center PICU f
Externí odkaz:
https://doaj.org/article/12a12d6174dd40b19e3c9d6c0446d6fa
Publikováno v:
In Linear Algebra and Its Applications 15 February 2020 587:143-165
Publikováno v:
Complex Analysis and Operator Theory. 16