Search Results - "Garcés, Jorge J."

Orthogonally Additive and Orthogonality Preserving Holomorphic Mappings between C-Algebras by Garcés, Jorge J., Peralta, Antonio M., Puglisi, Daniele, Ramírez, María Isabel

“…We study holomorphic maps between C*-algebras A and B, when f:BA(0,ϱ)→B is a holomorphic mapping whose Taylor series at zero is uniformly converging in some…”
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Potent preservers of incidence algebras by Garcés, Jorge J., Khrypchenko, Mykola

“…Let X be a finite connected poset, F a field and I(X,F) the incidence algebra of X over F. We describe the bijective linear idempotent preservers…”
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On the strict topology of the multipliers of a JB∗-algebra by Fernández-Polo, Francisco J., Garcés, Jorge J., Li, Lei, Peralta, Antonio M.

“…We introduce the Jordan-strict topology on the multiplier algebra of a JB ∗ -algebra, a notion which was missing despite the forty years passed after the first…”
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Orthogonality preservers in C ∗ -algebras, JB ∗ -algebras and JB ∗ -triples by Burgos, María, Fernández-Polo, Francisco J., Garcés, Jorge J., Moreno, Juan Martínez, Peralta, Antonio M.

“…We study orthogonality preserving operators between C ∗ -algebras, JB ∗ -algebras and JB ∗ -triples. Let T : A → E be an orthogonality preserving bounded…”
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Automatic continuity of biorthogonality preservers between compact C ⁎-algebras and von Neumann algebras by Burgos, María, Garcés, Jorge J., Peralta, Antonio M.

“…We prove that every biorthogonality preserving linear surjection between two dual or compact C ⁎-algebras or between two von Neumann algebras is automatically…”
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Bilinear maps on C⁎-algebras that have product property at a compact element by Garcés, Jorge J., Khrypchenko, Mykola

“…We study bounded bilinear maps on a C⁎-algebra A having product property at c∈A. This leads us to the question of when a C⁎-algebra is determined by products…”
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Tingley's problem for spaces of trace class operators by Fernández-Polo, Francisco J., Garcés, Jorge J., Peralta, Antonio M., Villanueva, Ignacio

“…We prove that every surjective isometry between the unit spheres of two trace class spaces admits a unique extension to a surjective complex linear or…”
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Orthogonal forms and orthogonality preservers on real function algebras by Garcés, Jorge J., Peralta, Antonio M.

“…We initiate the study of orthogonal forms on a real C -algebra. Motivated by previous contributions, due to Ylinen, Jajte, Paszkiewicz and Goldstein, we prove…”
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Linear maps preserving products equal to primitive idempotents of an incidence algebra by Garcés, Jorge J., Khrypchenko, Mykola

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A Kaplansky theorem for JB-triples by FERNÁNDEZ-POLO, FRANCISCO J., GARCÉS, JORGE J., PERALTA, ANTONIO M.

“…T is continuous. This result generalises classical theorems of I. Kaplansky and S.B. Cleveland in the setting of C ^*-algebras.]]>…”
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A projection–less approach to Rickart Jordan structures by Garcés, Jorge J., Li, Lei, Peralta, Antonio M., Tahlawi, Haifa M.

“…The main goal of this paper is to introduce and explore an appropriate notion of weakly Rickart JB⁎-triples. We introduce weakly and weakly order Rickart…”
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2-local triple homomorphisms on von Neumann algebras and JBW⁎-triples by Burgos, Maria J., Fernández-Polo, Francisco J., Garcés, Jorge J., Peralta, Antonio M.

“…We prove that every (not necessarily linear nor continuous) 2-local triple homomorphism from a JBW⁎-triple into a JB⁎-triple is linear and a triple…”
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Local Triple Derivations on C-Algebras by Burgos, Maria, Fernández-Polo, Francisco J., Garcés, Jorge J., Peralta, Antonio M.

“…We prove that every bounded local triple derivation on a unital C*-algebra is a triple derivation. A similar statement is established in the category of unital…”
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A Kowalski-Sodkowski theorem for 2-local -homomorphisms on von Neumann algebras by Burgos, Maria, Fernández-polo, Francisco J, Garcés, Jorge J, Peralta, Antonio M

“…(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) It is established that every (not necessarily linear) 2-local ...-homomorphism from…”
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Complete orthogonality preservers between C$^$-algebras by Garcés, Jorge J

“…Journal of Mathematical Analysis and Applications 483 (1), 123596 (2020) We introduce $n$-orthogonality (and completely orthogonality) preserving operators…”
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Weakly compact orthogonality preservers on C-algebras by Fernández-Polo, Francisco J., Garcés, Jorge J., Peralta, Antonio M.

“…We establish a complete description of weakly compact orthogonality preserving operators from a C*-algebra A (or a JB*-algebra) to a JB*-triple E . We prove…”
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A Kowalski–Słodkowski theorem for 2-local ∗-homomorphisms on von Neumann algebras by Burgos, Maria, Fernández-Polo, Francisco J., Garcés, Jorge J., Peralta, Antonio M.

“…It is established that every (not necessarily linear) 2-local ∗ -homomorphism from a von Neumann algebra into a C ∗ -algebra is linear and a ∗ -homomorphism…”
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Invertibility preservers of finitary incidence algebras by Garcés, Jorge J, Khrypchenko, Mykola

“…Let $X$ be an arbitrary poset and $K$ an arbitrary field. We describe linear unital invertibility preservers of the finitary incidence algebra $FI(X,K)$ in…”
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Bilinear maps on C$^$-algebras that have product property at a compact element by Garcés, Jorge J, Khrypchenko, Mykola

“…We study bounded bilinear maps on a C$^*$-algebra $A$ having product property at $c\in A$. This leads us to the question of when a C$^*$-algebra is determined…”
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Generalised triple homomorphisms and Derivations by Garcés, Jorge J, Peralta, Antonio M

“…Canad. J. Math. 65 (2013), 783-807 We introduce generalised triple homomorphism between Jordan Banach triple systems as a concept which extends the notion of…”
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