Results 21 to 30 of about 8,464,085 (281)

Means of positive linear operators

open access: yesMathematische Annalen, 1980
Tsuyoshi Ando
exaly   +2 more sources

The Generalized Inequalities via Means and Positive Linear Mappings [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2022
In this paper, we establish further improvements  of the Young inequality and its reverse. Then, we assert operator versions corresponding them. Moreover, an application including positive linear mappings is given.
Leila Nasiri, Mehdi Shams
doaj   +1 more source

Upper Bounds for the Euclidean Operator Radius and Applications [PDF]

open access: yes, 2006
The main aim of the present paper is to establish various sharp upper bounds for the Euclidean operator radius of an n−tuple of bounded linear operators on a Hilbert space.
Dragomir, Sever S
core   +3 more sources

Improvements of operator reverse AM-GM inequality involving positive linear maps

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we shall present some reverse arithmetic-geometric mean operator inequalities for unital positive linear maps. These inequalities improve some corresponding results due to Xue (J. Inequal. Appl. 2017:283, 2017).
Shazia Karim   +2 more
doaj   +1 more source

Some Inequalities for the Euclidean Operator Radius of Two Operators in Hilbert Spaces [PDF]

open access: yes, 2006
Some sharp bounds for the Euclidean operator radius of two bounded linear operators in Hilbert spaces are given. Their connection with Kittaneh’s recent results which provide sharp upper and lower bounds for the numerical radius of linear operators ...
Dragomir, Sever S
core   +4 more sources

More on the extension of linear operators on Riesz spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
The classical Kantorovich theorem asserts the existence and uniqueness of a linear extension of a positive additive mapping, defined on the positive cone $E^+$ of a Riesz space $E$ taking values in an Archimedean Riesz space $F$, to the entire space $E$.
O.G. Fotiy, A.I. Gumenchuk, M.M. Popov
doaj   +1 more source

Note on Positive Linear Operators [PDF]

open access: yesProceedings of the American Mathematical Society, 1965
PROOF. Letf.-T*f and gn->g in C, and let an and I3n be the least numbers such that acxf. > gn and f.g1,>f, These exist by Lemma 1 and are positive since S is Archimedean, and 0(fn,, gn) = On satisfies ee9 =ana4n. Let 0= lim inf On. The case 0 =oo is trivial, since it imposes no restriction on O(f, g). Moreover, by restricting attention to a subsequence,
openaire   +2 more sources

On the Monotonicity of Positive Linear Operators

open access: yesJournal of Approximation Theory, 1998
The main result of this paper concerns positive linear approximation operators of the so-called Feller type \[ K_n(f,x): =Ef(T_{n,x}) =\int_I f(t)dG_{n,x} (t),\;n\in\mathbb{N}, \] where the random variable \(T_{n,x}\) is the arithmetic mean of identically distributed random variables \(X_{i,x}\), \(I=1, \dots, n\) taking values in an interval \(I\) and
KHAN M. K.   +2 more
openaire   +3 more sources

Implementation of discrete positive operator valued measures on linear optical systems using cosine-sine decomposition

open access: yesPhysical Review Research, 2022
Positive operator valued measurements (POVMs) play an important role in efficient quantum communication and computation. While optical systems are one of the strongest candidates for long distance quantum communication and information processing ...
Jaskaran Singh, Arvind, Sandeep K. Goyal
doaj   +1 more source

Positive forms on Banach spaces [PDF]

open access: yes, 2003
The first representation theorem establishes a correspondence between positive, self-adjoint operators and closed, positive forms on Hilbert spaces.
Farkas, Bálint   +3 more
core   +1 more source

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