The Hankel pencil conjecture
نویسندگان
چکیده
منابع مشابه
Pencil of Polynomials and the Plane Jacobian Conjecture
It is shown that a polynomial map F = (P, Q) of C with finite fibres is a polynomial automorphism if for all (a : b) ∈ P the polynomials aP + bQ are irreducible and the curves aP + bQ = 0 are rational curves. In consequence, a non-zero constant Jacobian polynomial map F of C is a polynomial automorphism if the inverse images F(l) of complex lines l ⊂ C passing through (0, 0) are irreducible rat...
متن کاملThe weighted Weiss conjecture and reproducing kernel theses for generalized Hankel operators
The weighted Weiss conjecture states that the system theoretic property of weighted admissibility can be characterised by a resolvent growth condition. For positive weights, it is known that the conjecture is true if the system is governed by a normal operator; however, the conjecture fails if the system operator is the unilateral shift on the Hardy space H(D) (discrete time) or the right-shift...
متن کاملdeterminant of the hankel matrix with binomial entries
abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.
15 صفحه اولFinite rank intermediate Hankel operators and the big Hankel operator
Let La be a Bergman space. We are interested in an intermediate Hankel operator H M φ from La to a closed subspace M of L 2 which is invariant under the multiplication by the coordinate function z. It is well known that there do not exist any nonzero finite rank big Hankel operators, but we are studying same types in case H φ is close to big Hankel operator. As a result, we give a necessary and...
متن کاملLoopy, Hankel, and combinatorially skew-Hankel tournaments
We investigate tournaments with a specified score vector having additional structure: loopy tournaments in which loops are allowed, Hankel tournaments which are tournaments symmetric about the Hankel diagonal (the anti-diagonal), and combinatorially skew-Hankel tournaments which are skew-symmetric about the Hankel diagonal. In each case, we obtain necessary and sufficient conditions for existen...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2009
ISSN: 0024-3795
DOI: 10.1016/j.laa.2009.05.015