An index formula for chains

Robin Harte; Woo Lee

Studia Mathematica (1995)

  • Volume: 116, Issue: 3, page 283-294
  • ISSN: 0039-3223

Abstract

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We derive a formula for the index of Fredholm chains on normed spaces.

How to cite

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Harte, Robin, and Lee, Woo. "An index formula for chains." Studia Mathematica 116.3 (1995): 283-294. <http://eudml.org/doc/216234>.

@article{Harte1995,
abstract = {We derive a formula for the index of Fredholm chains on normed spaces.},
author = {Harte, Robin, Lee, Woo},
journal = {Studia Mathematica},
keywords = {Fredholm complex; Euler number; Fredholm chain of bounded operators; index formula},
language = {eng},
number = {3},
pages = {283-294},
title = {An index formula for chains},
url = {http://eudml.org/doc/216234},
volume = {116},
year = {1995},
}

TY - JOUR
AU - Harte, Robin
AU - Lee, Woo
TI - An index formula for chains
JO - Studia Mathematica
PY - 1995
VL - 116
IS - 3
SP - 283
EP - 294
AB - We derive a formula for the index of Fredholm chains on normed spaces.
LA - eng
KW - Fredholm complex; Euler number; Fredholm chain of bounded operators; index formula
UR - http://eudml.org/doc/216234
ER -

References

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  1. [1] E. Albrecht and F.-H. Vasilescu, Semi-Fredholm Complexes, Oper. Theory Adv. Appl. 11, Birkhäuser, 1983. 
  2. [2] E. Albrecht and F.-H. Vasilescu, Stability of the index of a complex of Banach spaces, J. Funct. Anal. 66 (1986), 141-172. Zbl0592.47008
  3. [3] C.-G. Ambrozie, Stability of the index of a Fredholm symmetrical pair, J. Operator Theory 25 (1991), 61-77. Zbl0783.47010
  4. [4] S. R. Cardus, W. E. Pfaffenberger and B. Yood, Calkin Algebras and Algebras of Operators on Banach Spaces, Dekker, New York, 1974. Zbl0299.46062
  5. [5] B. Booss and D. D. Bleecker, Topology and Analysis: The Atiyah-Singer Index Formula and Guage-Theoretic Physics, Springer, 1985. Zbl0551.58031
  6. [6] R. E. Curto, Fredholm and invertible tuples of operators. The deformation problem, Trans. Amer. Math. Soc. 266 (1981), 129-159. Zbl0457.47017
  7. [7] R. E. Harte, Invertibility, singularity and Joseph L. Taylor, Proc. Roy. Irish Acad. Sect. A 81 (1981), 399-406. 
  8. [8] R. E. Harte, Fredholm, Weyl and Browder theory, ibid. 85 (1985), 151-176. 
  9. [9] R. E. Harte, Invertibility and Singularity for Bounded Linear Operators, Dekker, New York, 1988. Zbl0636.47001
  10. [10] R. E. Harte, Index continuity for chains, in: Aportaciones Matematicas en Memoria del Profesor Victor Manuel Onieva Aleixandre, Univ. de Cantabria, Santander, 1991, 199-208; MR 92f:47011. 
  11. [11] R. E. Harte, Taylor exactness and Kato's jump, Proc. Amer. Math. Soc. 119 (1993), 793-802. 
  12. [12] M. Putinar, Some invariants for semi-Fredholm systems of essentially commuting operators, J. Operator Theory 8 (1982), 65-90. Zbl0491.47008
  13. [13] J. L. Taylor, A joint spectrum for several commuting operators, J. Funct. Anal. 6 (1970), 172-191. Zbl0233.47024
  14. [14] F.-H. Vasilescu, A characterization of the joint spectrum in Hilbert space, Rev. Roumaine Math. Pures Appl. 22 (1977), 1001-1009. 
  15. [15] F.-H. Vasilescu, On pairs of commuting operators, Studia Math. 62 (1978), 203-207. Zbl0393.47002
  16. [16] F.-H. Vasilescu, Stability of the index of a complex of Banach spaces, J. Operator Theory 2 (1979), 247-275. Zbl0435.47046

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