Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving principal angles

Communications in Mathematical Physics

Volumn 217, Issue 2, 2001, Pages 409-421

  Molnár, Lajos ^a  

^a UNIVERSITY OF DEBRECEN   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035529881     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005551     Document Type: Article

References (16)

1. 1. Bhatia, R.: Matrix Analysis. Berlin-Heidelberg-New York: Springer-Verlag, 1997
2. 2. Brešar, M., Šemrl, P.: Mappings which preserve idempotents, local automorphisms, and local derivations. Canad. J. Math. 45, 483-496 (1993)
3. 3. Jordan, C.: Essai sur la géométrie á n dimensions. Bull. Soc. Math. France 3, 103-174 (1875)
4. 4. Hotelling, H.: Relations between two sets of variates. Biometrika 28, 321-377 (1935)
5. 5. Hou, J.C.: Rank-preserving linear maps on B(X). Sci. China Ser. A 32, 929-940 (1989)
6. 6. Jacobson, N., Rickart, C.: Jordan homomorphisms of rings. Trans. Am. Math. Soc. 69, 479-502 (1950)
7. 7. Kirillov, A.A., Gvishiani, A.D.: Theorems and Problems in Functional Analysis. Berlin-Heidelberg-New York: Springer-Verlag, 1982
8. 8. Martindale, W.S.: Jordan homomorphisms of the symmetric elements of a ring with involution. J. Algebra 5, 232-249 (1967)
9. n. Linear Algebra Appl. 171, 81-98 (1992)
10. 10. Molnár, L.: An algebraic approach to Wigner's unitary-antiunitary theorem. J. Austral. Math. Soc. 65, 354-369 (1998)
11. 11. Molnár, L.: A generalization of Wigner's unitary-antiunitary theorem to Hilbert modules. J. Math. Phys. 40, 5544-5554 (1999)
12. 12. Molnár, L.: Generalization of Wigner's unitary-antiunitary theorem for indefinite inner product spaces. Commun. Math. Phys. 201, 785-791 (2000)
13. 13. Molnár, L.: A Wigner-type theorem on symmetry transformations in type II factors. Int. J. Theor. Phys. 39, 1463-1466 (2000)
14. 14. Paige, C.C., Wei, M.: History and generality of the CS decomposition. Linear Algebra Appl. 208/209, 303-326 (1994)
15. 15. Palmer, T.W.: Banach Algebras and The General Theory of *-Algebras, Vol. I. Cambridge: Cambridge University Press, 1994
16. 16. Sharma, C.S., Almeida, D.F.: A direct proof of Wigner's theorem on maps which preserve transition probabilities between pure states of quantum systems. Ann. Phys. 197, 300-309 (1990)