The geometry of Kato Grassmannians

• Autorzy: Bogdan Bojarski , Giorgi Khimshiashvili
• Języki publikacji: EN

Abstrakty

EN

We discuss Fredholm pairs of subspaces and associated Grassmannians in a Hilbert space. Relations between several existing definitions of Fredholm pairs are established as well as some basic geometric properties of the Kato Grassmannian. It is also shown that the so-called restricted Grassmannian can be endowed with a natural Fredholm structure making it into a Fredholm Hilbert manifold.

Słowa kluczowe

EN

Fredholm pair of subspaces; Fredholm operator; index; compact operator; restricted Grassmannian; Hilbert manifold; homotopy groups; Fredholm structure; 35E15; 58D15

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2005
• Tom: 3
• Numer: 4
• Strony: 705-717

Daty

wydano

2005-12-01

online

2005-12-01

Twórcy

autor

Bogdan Bojarski

• Polish Academy of Sciences

autor

Giorgi Khimshiashvili

• Georgian Academy of Sciences

Bibliografia

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Identyfikatory

DOI

10.2478/BF02475627