ar X iv : 0 90 3 . 06 51 v 3 [ m at h . C V ] 1 8 A ug 2 00 9 Toeplitz operators on generalized Bergman spaces

ar X iv : 0 90 7 . 29 64 v 1 [ m at h . FA ] 1 7 Ju l 2 00 9 THE NORM OF A TRUNCATED TOEPLITZ OPERATOR

We prove several lower bounds for the norm of a truncated Toeplitz operator and obtain a curious relationship between the H and H∞ norms of functions in model spaces.

ar X iv : h ep - l at / 0 11 00 06 v 2 3 O ct 2 00 1 1 Matrix elements of ∆ S = 2 operators with Wilson fermions

ar X iv : h ep - l at / 0 11 00 06 v 3 6 N ov 2 00 1 1 Matrix elements of ∆ S = 2 operators with Wilson fermions

ar X iv : m at h / 06 11 50 6 v 2 [ m at h . FA ] 8 J un 2 00 9 MANY PARAMETER HÖLDER PERTURBATION OF UNBOUNDED OPERATORS

If u → A(u) is a C 0,α-mapping, for 0 < α ≤ 1, having as values unbounded self-adjoint operators with compact resolvents and common domain of definition, parametrized by u in an (even infinite dimensional) space, then any continuous (in u) arrangement of the eigenvalues of A(u) is indeed C 0,α in u.

ar X iv : 0 90 8 . 01 53 v 1 [ m at h . G T ] 2 A ug 2 00 9 On Fibonacci knots

We show that the Conway polynomials of Fibonacci links are Fibonacci polynomials modulo 2. We deduce that, when n 6≡ 0 (mod 4) and (n, j) 6= (3, 3), the Fibonacci knot F (n) j is not a Lissajous knot. keywords: Fibonacci polynomials, Fibonacci knots, continued fractions