Geodesic
Discrete one-dimensional zero-order pseudodifferential operators on spaces with Muckenhoupt weight
Algebra i analiz, Tome 13 (2001) no. 2, pp. 116-129.

Voir la notice de l'article provenant de la source Math-Net.Ru

This paper explores operators on $\ell^p$ over the integers with an arbitrary Muckenhoupt weight. The main result is a Fredholm criterion for the operators in the Banach algebra generated by zero-order pseudodifferential operators with piecewise continuous symbols. In contrast to the common power weights, general Muckenhoupt weights may produce massive parts in the essential spectrum of these operators.
Keywords: pseudodifferential operator, symbol calculus, Muckenhoupt weight, sequence space, Toeplitz algebra. 
@article{AA_2001_13_2_a3,
     author = {A. B\"ottcher and M. Seybold},
     title = {Discrete one-dimensional zero-order pseudodifferential operators on spaces with {Muckenhoupt} weight},
     journal = {Algebra i analiz},
     pages = {116--129},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AA_2001_13_2_a3/}
}
TY  - JOUR
AU  - A. Böttcher
AU  - M. Seybold
TI  - Discrete one-dimensional zero-order pseudodifferential operators on spaces with Muckenhoupt weight
JO  - Algebra i analiz
PY  - 2001
SP  - 116
EP  - 129
VL  - 13
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AA_2001_13_2_a3/
LA  - en
ID  - AA_2001_13_2_a3
ER  - 
%0 Journal Article
%A A. Böttcher
%A M. Seybold
%T Discrete one-dimensional zero-order pseudodifferential operators on spaces with Muckenhoupt weight
%J Algebra i analiz
%D 2001
%P 116-129
%V 13
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AA_2001_13_2_a3/
%G en
%F AA_2001_13_2_a3
A. Böttcher; M. Seybold. Discrete one-dimensional zero-order pseudodifferential operators on spaces with Muckenhoupt weight. Algebra i analiz, Tome 13 (2001) no. 2, pp. 116-129. http://geodesic.mathdoc.fr/item/AA_2001_13_2_a3/