Sign in
Author

Conference

Journal

Organization

Year

DOI
Look for results that meet for the following criteria:
since
equal to
before
between
and
Search in all fields of study
Limit my searches in the following fields of study
Agriculture Science
Arts & Humanities
Biology
Chemistry
Computer Science
Economics & Business
Engineering
Environmental Sciences
Geosciences
Material Science
Mathematics
Medicine
Physics
Social Science
Multidisciplinary
Subscribe
Academic
Publications
Strong Subdifferentiability of the Norm on J BTriples
Strong Subdifferentiability of the Norm on J BTriples,10.1093/qjmath/54.4.381,Quarterly Journal of Mathematics,J. B. Guerrero
Edit
Strong Subdifferentiability of the Norm on J BTriples
(
Citations: 3
)
BibTex

RIS

RefWorks
Download
J. B. Guerrero
Journal:
Quarterly Journal of Mathematics  QUART J MATH
, vol. 54, no. 4, pp. 381390, 2003
DOI:
10.1093/qjmath/54.4.381
Cumulative
Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
(
qjmath.oupjournals.org
)
Citation Context
(1)
...Recently, BecerraGuerrero and Rodr´ õguezPalacios have completely described the points of strong subdifferentiability for the norm of a (complex) JB ∗ triple [
3
]...
...in its complexification and the strong subdifferentiability at a normone point is inherited by real subspaces, the next corollary is a consequence of Theorem [
3, Theorem 2.7
]...
...Having the above facts in mind, the same arguments given in [
3, Theorem 2.5
] can be adapted to obtain the following corollary...
...the strong subdifferentiability of its norm at a point of the unit sphere, similar to those obtained for (complex) JB ∗ triples in [
3, Theorem 2.7
]...
...The following corollary is an extension to real JB ∗ triples of the main result of [10] (see also [
3
]) for complex JB ∗ triples...
...Therefore, by [23, Lemma 3], we have D(C, e) = D(C, a). Finally, let f in D(E, a). It is clear that f C lies in D(C, a) = D(C, e) and hence f( e) = 1. This assures that D(E, a) ⊆ D(E, e). (⇐) Suppose now that D(E, a) = D(E, e). By [
3, Theorem 2.7
] we conclude that the norm of E is strongly subdifferentiable at every tripotent element of E. Since the strong subdifferentiability of the norm of E at a normone element x depends only on the ...
...From [
3, Theorem 2.7
] we conclude that there is a tripotent u in E such that a lies in Eu. By the first part of the proof we have D(E, u) = D(E, a) = D(E, e). By Lemma 3.1 we get u = e, which gives a ∈ Ee. (b) Let C be the JB ∗ subtriple generated by e and x = e + z0 (z0 ∈ E0(e), � z0� < 1). As we have seen in the first part of the proof, C is an abelian C ∗ algebra...
...of the one given in the complex case but replacing [
3, Theorem 2.7
] by Corollary 2.5...
Julio Becerra Guerrero
,
et al.
Subdifferentiability of the norm and the BanachStone theorem for real...
Sort by:
Citations
(3)
The alternative Daugavet property ofC *algebras andJB *triples
(
Citations: 4
)
Miguel Martín
Journal:
Mathematische Nachrichten  MATH NACHR
, vol. 281, no. 3, pp. 376385, 2008
Résultats à long terme de l’arthroplastie totale de hanche par prothèse Charnley Kerboull chez le sujet de moins de 50 ans
L. Kerboull
,
M. Hamadouche
,
J.P. Courpied
,
M. Kerboull
Journal:
Revue De Chirurgie Orthopedique Et Reparatrice De L Appareil Moteur  REV CHIR ORTHOP REPARAT APP
, vol. 91, no. 4, pp. 355357, 2005
Subdifferentiability of the norm and the BanachStone theorem for real and complex JB*triples
(
Citations: 5
)
Julio Becerra Guerrero
,
Antonio M. Peralta
Journal:
Manuscripta Mathematica  MANUSCR MATH
, vol. 114, no. 4, pp. 503516, 2004