Complementary Lagrangians in infinite dimensional symplectic Hilbert spaces

Anais da Academia Brasileira de Ciencias

Volumn 77, Issue 4, 2005, Pages 589-594

  Piccione, Paolo ^a   Tausk, Daniel V ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Lagrangian Grassmannian; Lagrangian subspaces; Spectral theorem; Symplectic Hilbert spaces; Unbounded self adjoint operators

Indexed keywords

EID: 31044456700     PISSN: 00013765     EISSN: 00013765     Source Type: Journal    
DOI: 10.1590/S0001-37652005000400002     Document Type: Article

References (6)

1. BILIOTTI L, EXEL R, PICCIONE P AND TAUSK D. 2004. On the Singularities of the Exponential Map in Infinite Dimensional Riemannian Manifolds. math.FA/0412108.
2. BOOSS-BAVNBEK B AND ZHU C. 2005. General Spectral Flow Formula for Fixed Maximal Domain. math.DG/0504125.
3. FURUTANI K. 2004. Fredholm-Lagrangian-Grassmannian and the Maslov index. J Geom Phys 51: 269-331.
4. GROSSMAN N. 1965. Hilbert manifolds without epiconjugate points. Proc Amer Math Soc 16: 1365-1371.
5. ZHU C. 2001. The Morse Index Theorem for Regular Lagrangian Systems. math.DG/0109117.
6. ZHU C AND LONG Y. 1999. Maslov-type index theory for symplectic paths and spectral flow. I. Chinese Ann Math Ser 20B: 413-424.