- -

Inner Derivations and Weak-2-Local Derivations on the C*-Algebra C-0(L, A)

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Inner Derivations and Weak-2-Local Derivations on the C*-Algebra C-0(L, A)

Mostrar el registro completo del ítem

Jorda Mora, E.; Peralta, A. (2017). Inner Derivations and Weak-2-Local Derivations on the C*-Algebra C-0(L, A). Integral Equations and Operator Theory. 89(1):89-110. https://doi.org/10.1007/s00020-017-2390-x

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/148095

Ficheros en el ítem

Metadatos del ítem

Título: Inner Derivations and Weak-2-Local Derivations on the C*-Algebra C-0(L, A)
Autor: Jorda Mora, Enrique Peralta, A.M.
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] Let L be a locally compact Hausdorff space. Suppose A is a -algebra with the property that every weak-2-local derivation on A is a (linear) derivation. We prove that every weak-2-local derivation on is a (linear) ...[+]
Palabras clave: Derivation , 2-Local linear map , 2-Local *-derivation , 2-Local derivation , Weak-2-local mapping , Weak-2-local derivation
Derechos de uso: Reserva de todos los derechos
Fuente:
Integral Equations and Operator Theory. (issn: 0378-620X )
DOI: 10.1007/s00020-017-2390-x
Editorial:
Springer-Verlag
Versión del editor: https://doi.org/10.1007/s00020-017-2390-x
Código del Proyecto:
info:eu-repo/grantAgreement/MINECO//MTM2016-76647-P/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/
info:eu-repo/grantAgreement/GVA//ACOMP%2F2015%2F186/
info:eu-repo/grantAgreement/GVA//AICO%2F2016%2F054/
Tipo: Artículo

References

Akemann, C.A., Elliott, G.E., Pedersen, G.K., Tomiyama, J.: Derivations and multipliers of $$\text{ C }^*$$ C ∗ -algebras. Am. J. Math. 98(3), 679–708 (1976)

Akemann, C.A., Johnson, B.E.: Derivations of non-separable $$\text{ C }^*$$ C ∗ -algebras. J. Funct. Anal. 33, 311–331 (1979)

Akemann, C.A., Pedersen, G.K., Tomiyama, J.: Multipliers of $$\text{ C }^*$$ C ∗ -algebras. J. Funct. Anal. 13, 277–301 (1973) [+]
Akemann, C.A., Elliott, G.E., Pedersen, G.K., Tomiyama, J.: Derivations and multipliers of $$\text{ C }^*$$ C ∗ -algebras. Am. J. Math. 98(3), 679–708 (1976)

Akemann, C.A., Johnson, B.E.: Derivations of non-separable $$\text{ C }^*$$ C ∗ -algebras. J. Funct. Anal. 33, 311–331 (1979)

Akemann, C.A., Pedersen, G.K., Tomiyama, J.: Multipliers of $$\text{ C }^*$$ C ∗ -algebras. J. Funct. Anal. 13, 277–301 (1973)

Archbold, R.J.: On the norm of an inner derivation of a $$\text{ C }^*$$ C ∗ -algebra. Math. Proc. Camb. Philos. Soc. 84, 273–291 (1978)

Archbold, R.J., Somerset, D.W.B.: Inner derivations and primal ideals of $$\text{ C }^*$$ C ∗ -algebras. II. Proc. Lond. Math. Soc. (3) 88(1), 225–250 (2004)

Ayupov, S., Arzikulov, F.N.: 2-Local derivations on algebras of matrix-valued functions on a compact, preprint (2015). arXiv:1509.05701v1

Ayupov, Sh, Kudaybergenov, K.K.: $$2$$ 2 -local derivations on von Neumann algebras. Positivity 19(3), 445–455 (2015). doi: 10.1007/s11117-014-0307-3

Burgos, M., Cabello, J.C., Peralta, A.M.: Weak-local triple derivations on $$\text{ C }^*$$ C ∗ -algebras and JB $$^*$$ ∗ -triples. Linear Algebra Appl. 506, 614–627 (2016). doi: 10.1016/j.laa.2016.06.042

Cabello, J.C., Peralta, A.M.: Weak-2-local symmetric maps on $$\text{ C }^*$$ C ∗ -algebras. Linear Algebra Appl. 494, 32–43 (2016). doi: 10.1016/j.laa.2015.12.024

Cabello, J.C., Peralta, A.M.: On a generalized Šemrl’s theorem for weak-2-local derivations on $$B(H)$$ B ( H ) . Banach J. Math. Anal. 11(2), 382–397 (2017)

Elliott, G.A.: Some $$\text{ C }^*$$ C ∗ -algebras with outer derivations. III. Ann. Math. (2) 106(1), 121–143 (1977)

Elliott, G.A.: On derivations of AW $$^*$$ ∗ -algebras. Tohoku Math. J. 30, 263–276 (1978)

Essaleh, A.B.A., Peralta, A.M., Ramírez, M.I.: Weak-local derivations and homomorphisms on $$\text{ C }^*$$ C ∗ -algebras. Linear Multilinear Algebra 64(2), 169–186 (2016)

Essaleh, A.B.A., Peralta, A.M., Ramírez, M.I.: CORRIGENDUM: Weak-local derivations and homomorphisms on $$\text{ C }^*$$ C ∗ -algebras. Linear Multilinear Algebra 64(5), 1009–1010 (2016)

Gajendragadkar, P.: Norm of a derivation of a von Neumann algebra. Trans. Am. Math. Soc. 170, 165–170 (1972)

Gogić, I.: Derivations of subhomogeneous $$\text{ C }^*$$ C ∗ -algebras are implemented by local multipliers. Proc. Am. Math. Soc. 141(11), 3925–3928 (2013)

Gogić, I.: The local multiplier algebra of a $$\text{ C }^*$$ C ∗ -algebra with finite dimensional irreducible representations. J. Math. Anal. Appl. 408(2), 789–794 (2013)

Hewitt, E., Ross, K.A.: Abstract Harmonic Analysis. Vol. II: Structure and Analysis for Compact Groups. Analysis on Locally Compact Abelian Groups. Springer, New York, Berlin (1970)

Jordá, E., Peralta, A.M.: Stability of derivations under weak-2-local continuous perturbations. Aequationes Math. 91, 99–114 (2017)

Kadison, R.V., Lance, E.C., Ringrose, J.R.: Derivations and automorphisms of operator algebras II. J. Funct. Anal. 1, 204–221 (1967)

Kyle, J.: Norms of derivations. J. Lond. Math. Soc. II Ser. 16, 297–312 (1977)

Kowalski, S., Słodkowski, Z.: A characterization of multiplicative linear functionals in Banach algebras. Stud. Math 67, 215–223 (1980)

Lance, E.C.: Automorphisms of certain operator algebras. Am. J. Math. 91, 160–174 (1969)

Michael, E.: Continuous selections I. Ann. Math. 63, 361–382 (1956)

Niazi, M., Peralta, A.M.: Weak-2-local derivations on $$\mathbb{M}_n$$ M n . FILOMAT 31(6), 1687–1708 (2017)

Niazi, M., Peralta, A.M.: Weak-2-local $$^*$$ ∗ -derivations on $$B(H)$$ B ( H ) are linear $$^*$$ ∗ -derivations. Linear Algebra Appl. 487, 276–300 (2015)

Pedersen, G.K.: Approximating derivations on ideals of $$\text{ C }^*$$ C ∗ -algebras. Invent. Math. 45, 299–305 (1978)

Ringrose, J.R.: Automatic continuity of derivations of operator algebras. J. Lond. Math. Soc. 2(5), 432–438 (1972)

Sakai, S.: On a conjecture of Kaplansky. Tohoku Math. J. 12, 31–33 (1960)

Sakai, S.: $$\text{ C }^*$$ C ∗ -Algebras and $$W^*$$ W ∗ -Algebras. Springer, Berlin (1971)

Sakai, S.: Derivations of simple $$\text{ C }^*$$ C ∗ -algebras. II. Bull. Soc. Math. Fr. 99, 259–263 (1971)

Šemrl, P.: Local automorphisms and derivations on $$B(H)$$ B ( H ) . Proc. Am. Math. Soc. 125, 2677–2680 (1997)

Somerset, D.W.B.: The inner derivations and the primitive ideal space of a $$\text{ C }^*$$ C ∗ -algebra. J. Oper. Theory 29, 307–321 (1993)

Somerset, D.W.B.: Inner derivations and primal ideals of $$\text{ C }^*$$ C ∗ -algebras. J. Lond. Math. Soc. 2(50), 568–580 (1994)

Somerset, D.W.B.: The local multiplier algebra of a $$\text{ C }^*$$ C ∗ -algebra. II. J. Funct. Anal. 171(2), 308–330 (2000)

Stampfli, J.G.: The norm of a derivation. Pac. J. Math. 33(3), 737–747 (1970)

Takesaki, M.: Theory of Operator Algebras I. Springer, Berlin (1979)

Zsido, L.: The norm of a derivation in a W $$^*$$ ∗ -algebra. Proc. Am. Math. Soc. 38, 147–150 (1973)

[-]

recommendations

 

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro completo del ítem