LAUSR

Linear Maps on Group Algebras Determined by the Action of the Derivations or Anti-derivations on a Set of Orthogonal Elements

Sign Up to like & get
recommendations!
1 Published in 2018 at "Results in Mathematics"

DOI: 10.1007/s00025-018-0898-2

Abstract: Let $$L^{1}(G)$$L1(G) and $$M(G)$$M(G) be the group algebra and the measure algebra of a locally compact group G, respectively, and $$\Delta :L^{1}(G)\rightarrow M(G)$$Δ:L1(G)→M(G) be a continuous linear map. Assuming that $$\Delta $$Δ behaves like derivation… read more here.

Keywords: linear maps; orthogonal elements; star star; maps group ... See more keywords

Conjugate Linear Maps from C$$^*$$-Algebras into Their Dual Spaces which are Ternary Derivable at the Unit Element

Sign Up to like & get
recommendations!
1 Published in 2020 at "Results in Mathematics"

DOI: 10.1007/s00025-020-01207-2

Abstract: We prove that every continuous conjugate linear mapping from a unital C $$^*$$ -algebra A into its dual space, $$A^*$$ , which is ternary derivable at the unit element of A is a ternary derivation.… read more here.

Keywords: conjugate linear; linear maps; derivable unit; ternary derivable ... See more keywords

A Cauchy-Davenport Theorem for Linear Maps

Sign Up to like & get
recommendations!
1 Published in 2018 at "Combinatorica"

DOI: 10.1007/s00493-016-3486-7

Abstract: We prove a version of the Cauchy-Davenport theorem for general linear maps. For subsets A, B of the finite field $$\mathbb{F}_p $$Fp, the classical Cauchy-Davenport theorem gives a lower bound for the size of the… read more here.

Keywords: linear maps; theorem linear; davenport theorem; cauchy davenport ... See more keywords

n-SOT Hypercyclic Linear Maps on Banach Algebra of Operators

Sign Up to like & get
recommendations!
1 Published in 2019 at "Bulletin of the Iranian Mathematical Society"

DOI: 10.1007/s41980-018-0140-8

Abstract: Let B(X) be the algebra of bounded linear operators on a Banach space X. A subset E of B(X) is said to be n-SOT dense in B(X) if for every continuous linear operator $$\Lambda $$Λ… read more here.

Keywords: sot hypercyclic; linear maps; hypercyclic linear; maps banach ... See more keywords

Linear Maps on Standard Operator Algebras Characterized by Action on Zero Products

Sign Up to like & get
recommendations!
1 Published in 2019 at "Bulletin of the Iranian Mathematical Society"

DOI: 10.1007/s41980-019-00216-4

Abstract: Let $${\mathcal {A}}$$A be a unital standard algebra on a complex Banach space $${\mathcal {X}}$$X with dim$${\mathcal {X}}\ge 2$$X≥2. The main result of this paper is to characterize the linear maps $$\delta , \tau :… read more here.

Keywords: linear maps; delta; standard operator; operator algebras ... See more keywords

A note on inequalities for positive linear maps

Sign Up to like & get
recommendations!
1 Published in 2017 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2016.05.033

Abstract: Abstract We obtain some generalisations of the inequalities for positive unital linear maps on the algebra of matrices. As a consequence, we obtain several positive semidefinite matrices and new eigenvalue inequalities for Hermitian matrices. read more here.

Keywords: note inequalities; inequalities positive; linear maps; positive linear ... See more keywords

Linear maps preserving Kronecker quotients

Sign Up to like & get
recommendations!
0 Published in 2018 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2018.07.021

Abstract: Abstract We study linear preserver problems connected to the Kronecker quotients. Characterizations of the linear preservers of uniform Kronecker quotients are obtained and examples of such linear preservers are given. read more here.

Keywords: preserving kronecker; linear maps; kronecker; kronecker quotients ... See more keywords

Decomposability of linear maps under tensor powers

Sign Up to like & get
recommendations!
0 Published in 2018 at "Journal of Mathematical Physics"

DOI: 10.1063/1.5045559

Abstract: Both completely positive and completely copositive maps stay decomposable under tensor powers, i.e., under tensoring the linear map with itself. But are there other examples of maps with this property? We show that this is… read more here.

Keywords: linear maps; maps tensor; tensor; tensor powers ... See more keywords

Improving some operator inequalities for positive linear maps

Sign Up to like & get
recommendations!
0 Published in 2018 at "Filomat"

DOI: 10.2298/fil1812333y

Abstract: Let 0 < mI ≤ A ≤ m′I ≤M′I ≤ B ≤MI and p ≥ 1. Then for every positive unital linear map Φ, Φ(A∇tB) ≤ ( K(h,2) 4 1 p −1(1+Q(t)(log M′ m′ )… read more here.

Keywords: inequalities positive; linear maps; improving operator; operator inequalities ... See more keywords

Some refinements of operator inequalities for positive linear maps

Sign Up to like & get
recommendations!
1 Published in 2017 at "Journal of Mathematical Inequalities"

DOI: 10.7153/jmi-11-02

Abstract: In this paper, we refine some operator inequalities as follows: Let A , B be positive operators on a Hilbert space with 0 < m A m′ < M′ B M . Then for every… read more here.

Keywords: inequalities positive; linear maps; operator inequalities; refinements operator ... See more keywords