Research output: Contribution to journal › Journal article
|Journal publication date||15/07/2012|
|Journal||Journal of Mathematical Analysis and Applications|
|Number of pages||6|
Consider a linear spectral pencil of the form P(−i∇)− zQ(x), z ∈ C. If P−1 ∈ weak-Lp and
Q ∈ Lp for some 1 < p <∞, it is shown that the total number of eigenvalues with |z|<R
is bounded by C[||P−1||∗Lpw||Q||Lp R]p. An application is made to estimate the frequency with which zero modes of the Weyl–Dirac operator occur when the magnetic potential is scaled.