Peralta, A., Fernandez-Polo, F. (2018). Partial isometries: a survey. Advances in Operator Theory, 3(1), 75-116. doi: 10.22034/aot.1703-1149
Antonio Peralta; Francisco J Fernandez-Polo. "Partial isometries: a survey". Advances in Operator Theory, 3, 1, 2018, 75-116. doi: 10.22034/aot.1703-1149
Peralta, A., Fernandez-Polo, F. (2018). 'Partial isometries: a survey', Advances in Operator Theory, 3(1), pp. 75-116. doi: 10.22034/aot.1703-1149
Peralta, A., Fernandez-Polo, F. Partial isometries: a survey. Advances in Operator Theory, 2018; 3(1): 75-116. doi: 10.22034/aot.1703-1149
2Departamento de Análisis Matemático, Facultad de Ciencias
Abstract
We survey the main results characterizing partial isometries in C$^*$-algebras and tripotents in JB$^*$-triples obtained in terms of regularity, conorm, quadratic-conorm, and the geometric structure of the underlying Banach spaces.