Basis property of eigenfunctions of nonselfadjoint operator pencils generated by the equation of nonhomogeneous damped string

1996 ◽  
Vol 25 (3) ◽  
pp. 289-328 ◽  
Author(s):  
Marianna A. Shubov
Keyword(s):  
Basis Property ◽  
Nonselfadjoint Operator ◽  
Operator Pencils

FINITELY BASED WORDS

2000 ◽  
Vol 10 (04) ◽  
pp. 457-480 ◽  
Author(s):  
OLGA SAPIR
Keyword(s):  
Sufficient Conditions ◽  
Basis Property ◽  
Free Monoid ◽  
Finite Basis ◽  
Finitely Based ◽  
Finite Basis Property ◽  
Letter Alphabet ◽  
Finite Language ◽  
Rees Quotient ◽  
The Ideal

Let W be a finite language and let Wc be the closure of W under taking subwords. Let S(W) denote the Rees quotient of a free monoid over the ideal consisting of all words that are not in Wc. We call W finitely based if the monoid S(W) is finitely based. Although these semigroups have easy structure they behave "generically" with respect to the finite basis property [6]. In this paper, we describe all finitely based words in a two-letter alphabet. We also find some necessary and some sufficient conditions for a set of words to be finitely based.

Linear Operator Pencils

1990 ◽  
pp. 49-58 ◽  
Author(s):  
Israel Gohberg ◽  
Seymour Goldberg ◽  
Marinus A. Kaashoek
Keyword(s):  
Linear Operator ◽  
Operator Pencils

Trace formula for polynomial operator pencils and its applications

1992 ◽  
Vol 25 (4) ◽  
pp. 306-308 ◽  
Author(s):  
K. Kh. Boimatov ◽  
A. G. Kostyuchenko
Keyword(s):  
Trace Formula ◽  
Polynomial Operator ◽  
Operator Pencils
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