@article {
author = {LIZAMA, CARLOS},
title = {SOME OPERATORS ACTING ON WEIGHTED SEQUENCE SPACES AND APPLICATIONS},
journal = {Scientia Iranica},
volume = {20},
number = {6},
pages = {1765-1772},
year = {2013},
publisher = {Sharif University of Technology},
issn = {1026-3098},
eissn = {2345-3605},
doi = {},
abstract = {This paper considers the problem of constructing an evolution family for the linear non autonomous Cauchy problem () @ @t u(t) ???? A(t)u(t) = 0; u(????1) = x 2 RN; where A 2 C([????1; 1];RNN): The essence of the method is that the evolution family is sought in the form of a series of Chebyshev polynomials. Then, by de ning appropriate weighted sequence spaces and matrices of linear operators, we are able to obtain a suf- cient condition - based only in the given data - for the representation of the solution of the initial value problem (). The method is motivated for practical considerations in the context of Magnetic Resonance Imaging.},
keywords = {Weighted sequence spaces,Chebyshev polynomials,non autonomous Cauchy problem,Operator theory,Bloch equation,Magnetic resonance imaging},
url = {http://scientiairanica.sharif.edu/article_3418.html},
eprint = {http://scientiairanica.sharif.edu/article_3418_7813bde404e86370d150b9de6bbe5e64.pdf}
}