The geometry of Kato Grassmannians

Bogdan Bojarski; Giorgi Khimshiashvili

Open Mathematics (2005)

  • Volume: 3, Issue: 4, page 705-717
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Bogdan Bojarski, and Giorgi Khimshiashvili. "The geometry of Kato Grassmannians." Open Mathematics 3.4 (2005): 705-717. <http://eudml.org/doc/268855>.

@article{BogdanBojarski2005,
abstract = {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.},
author = {Bogdan Bojarski, Giorgi Khimshiashvili},
journal = {Open Mathematics},
keywords = {35E15; 58D15},
language = {eng},
number = {4},
pages = {705-717},
title = {The geometry of Kato Grassmannians},
url = {http://eudml.org/doc/268855},
volume = {3},
year = {2005},
}

TY - JOUR
AU - Bogdan Bojarski
AU - Giorgi Khimshiashvili
TI - The geometry of Kato Grassmannians
JO - Open Mathematics
PY - 2005
VL - 3
IS - 4
SP - 705
EP - 717
AB - 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.
LA - eng
KW - 35E15; 58D15
UR - http://eudml.org/doc/268855
ER -

References

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