Open AccessON THE MANIFOLD OF COMPLEMENTED PRINCIPAL INNER IDEALS IN JB*-TRIPLES
Author(s) -
José M. Isidro,
László L. Stachó
Publication year - 2006
Publication title -
the quarterly journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.922
H-Index - 35
eISSN - 1464-3847
pISSN - 0033-5606
DOI - 10.1093/qmath/hal001
Subject(s) - principal (computer security) , manifold (fluid mechanics) , principal component analysis , mathematics , pure mathematics , computer science , engineering , statistics , mechanical engineering , operating system
The set of Neher's classes of tripotents in an arbitrary JB*-triple Z is considered and a natural complex-analytic Banach manifold structure is defined on it. The relationship between and the Grassmann manifold of all complemented principal inner ideals in Z is studied in detail, and the smooth complete vector fields on are characterized as smooth complete equivariant vector fields on the ma...
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom