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Weyl theorems for the polluted set of self-adjoint operators in Galerkin approximations
Weyl theorems self-adjoint operators Galerkin approximations
2010/11/22
Let A be a self-adjoint operator on a separable Hilbert space H and let (L_n) be a sequence of finite dimensional subspaces of the domain of A, approximating H in the large n limit. Denote by A_n the...
On a class of $J$-self-adjoint operators with empty resolvent set
Krein spaces J-self-adjoint operators empty resolvent
2010/10/21
In the present paper we investigate the set J of all J-self-adjoint extensions of a symmetric operator S with deficiency indices < 2, 2 > which commutes with a non-trivial fundamental symmetry J of a...
On a class of $J$-self-adjoint operators with empty resolvent set
Elliptic curve Elliptic divisibility sequence Primitive divisor
2010/11/30
We establish conditions necessary for the n-th element of any elliptic divisibility sequence generated by points on Ea : y2 = x3+ax to not have a primitive divisor. As a consequence of this, along wit...