Orthogonality preservers in C∗-algebras, JB∗-algebras and JB∗-triples
M Burgos, FJ Fernández-Polo, JJ Garcés… - Journal of mathematical …, 2008 - Elsevier
We study orthogonality preserving operators between C∗-algebras, JB∗-algebras and JB∗-
triples. Let T: A→ E be an orthogonality preserving bounded linear operator from a C∗ …
triples. Let T: A→ E be an orthogonality preserving bounded linear operator from a C∗ …
Disjointness-preserving orthogonally additive operators in vector lattices
N Abasov, M Pliev - 2018 - projecteuclid.org
In this article, we investigate disjointness-preserving orthogonally additive operators in the
setting of vector lattices. First, we present a formula for the band projection onto the band …
setting of vector lattices. First, we present a formula for the band projection onto the band …
[КНИГА][B] Zero product determined algebras
M Brešar - 2021 - books.google.com
This book provides a concise survey of the theory of zero product-determined algebras,
which has been developed over the last 15 years. It is divided into three parts. The first part …
which has been developed over the last 15 years. It is divided into three parts. The first part …
Linear disjointness preservers of operator algebras and related structures
JH Liu, CY Chou, CJ Liao, NC Wong - Acta Scientiarum Mathematicarum, 2018 - Springer
We survey some recent studies of linear zero product or orthogonality preservers between
C*/W*-algebras, their dual or predual spaces, and holomorphic disjointness preservers of C …
C*/W*-algebras, their dual or predual spaces, and holomorphic disjointness preservers of C …
Orthogonality preservers revisited
M Burgos, FJ Fernández-Polo, JJ Garcés… - … -European Journal of …, 2009 - World Scientific
We obtain a complete characterization of all orthogonality preserving operators from a JB*-
algebra to a JB*-triple. If T: J→ E is a bounded linear operator from a JB*-algebra …
algebra to a JB*-triple. If T: J→ E is a bounded linear operator from a JB*-algebra …
Local Triple Derivations on C*-Algebras†
M Burgos, FJ Fernández-Polo, JJ Garcés… - Communications in …, 2014 - Taylor & Francis
Full article: Local Triple Derivations on C*-Algebras† Skip to Main Content Taylor and Francis
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …
Geometry of Spaces of Orthogonally Additive Polynomials on C(K)
C Boyd, RA Ryan, N Snigireva - The Journal of Geometric Analysis, 2020 - Springer
We study the space of orthogonally additive n-homogeneous polynomials on C (K). There
are two natural norms on this space. First, there is the usual supremum norm of uniform …
are two natural norms on this space. First, there is the usual supremum norm of uniform …
Orthogonally additive sums of powers of linear functionals
C Boyd, RA Ryan, N Snigireva - Archiv der Mathematik, 2022 - Springer
Let E be a vector lattice, λ 1, λ 2,…, λ k scalars and φ 1,…, φ k pairwise independent regular
linear functionals on E. We show that if k< m then∑ j= 1 k λ j φ jm is orthogonally additive if …
linear functionals on E. We show that if k< m then∑ j= 1 k λ j φ jm is orthogonally additive if …
[HTML][HTML] Orthogonally additive polynomials on convolution algebras associated with a compact group
J Alaminos, J Extremera, MLC Godoy… - Journal of Mathematical …, 2019 - Elsevier
Let G be a compact group, let X be a Banach space, and let P: L 1 (G)→ X be an
orthogonally additive, continuous n-homogeneous polynomial. Then we show that there …
orthogonally additive, continuous n-homogeneous polynomial. Then we show that there …
Orthogonally Additive and Orthogonality Preserving Holomorphic Map**s between C*‐Algebras
We study holomorphic maps between C*‐algebras A and B, when f: BA (0, ϱ)→ B is a
holomorphic map** whose Taylor series at zero is uniformly converging in some open unit …
holomorphic map** whose Taylor series at zero is uniformly converging in some open unit …