@misc{10481/80357,
year = {2022},
url = {https://hdl.handle.net/10481/80357},
abstract = {We prove that every surjective isometry from the unit sphere of the space K(H), of all compact
operators on an arbitrary complex Hilbert space H, onto the unit sphere of an arbitrary real Banach space
Y can be extended to a surjective real linear isometry from K(H) onto Y. This is probably the first example
of an infinite dimensional non-commutative C∗-algebra containing no unitaries and satisfying the Mazur–
Ulam property. We also prove that all compact C∗-algebras and all weakly compact JB∗-triples satisfy the
Mazur–Ulam property.},
organization = {MCIN/AEI	PGC2018-093332-B-I00},
organization = {PID2021-122126NB-C31},
organization = {ERDF A way of making Europe},
organization = {Junta de Andalucia	FQM375
PY20 00255},
organization = {IMAG-Maria de Maeztu grant	CEX2020-001105-M},
publisher = {University of Nis},
keywords = {Tingley’s problem},
keywords = {Mazur-Ulam property},
keywords = {Extension of isometries},
keywords = {Compact operators},
keywords = {Compact C∗-algebras},
title = {On the Extension of Surjective Isometries whose Domain is the Unit Sphere of a Space of Compact Operators},
doi = {10.2298/FIL2209075P},
author = {Peralta Pereira, Antonio Miguel},
}