Tingley's problem for spaces of trace class operators

作者：Fernandez Polo Francisco J; Garces Jorge J; Peralta Antonio M^*; Villanueva Ignacio

来源：Linear Algebra and Its Applications, 2017, 529: 294-323.

DOI：10.1016/j.laa.2017.04.024

• Tingley's problem
• Extension of isometries
• Trace class operators

We prove that every surjective isometry between the unit spheres of two trace class spaces admits a unique extension to a surjective complex linear or conjugate linear isometry between the spaces. This provides a positive solution to Tingley's problem in a new class of operator algebras.

• 出版日期2017-9-15