Partial isometries: a survey

Francisco J Fernández-Polo; Antonio Peralta

doi:10.22034/aot.1703-1149

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Home > Journals > Adv. Oper. Theory > Volume 3 > Issue 1 > Article

Winter 2018 Partial isometries: a survey

Francisco J Fernández-Polo, Antonio Peralta

Adv. Oper. Theory 3(1): 75-116 (Winter 2018). DOI: 10.22034/aot.1703-1149

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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.

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Francisco J Fernández-Polo. Antonio Peralta. "Partial isometries: a survey." Adv. Oper. Theory 3 (1) 75 - 116, Winter 2018. https://doi.org/10.22034/aot.1703-1149

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Received: 31 March 2017; Accepted: 25 April 2017; Published: Winter 2018

First available in Project Euclid: 5 December 2017

zbMATH: 06804318

MathSciNet: MR3730341

Digital Object Identifier: 10.22034/aot.1703-1149

Subjects:

Primary: 46L05

Secondary: ‎15A09 , 16U99 , 17C65 , 46K70 , 46L60 , 47A05 , 47D25 , 47L30

Keywords: C*-algebra , conorm , JB*-triple , Moore–Penrose invertibility , partial isometry; , quadraticconorm, extreme points , reduced minimum modulus , tripotent , von Neumann regularity

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Adv. Oper. Theory

Vol.3 • No. 1 • Winter 2018

Tusi Mathematical Research Group

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Francisco J Fernández-Polo, Antonio Peralta "Partial isometries: a survey," Advances in Operator Theory, Adv. Oper. Theory 3(1), 75-116, (Winter 2018)

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