Abstract:
We show the Berger – show Theorem and operator theory in the Hardy
module space over the Bidisc. Inner sequences based invariant subspaces in
the Hardy space are also considered. We study some operator sand norm
inequalities concerning generalized inverses. We show the Weyl asymptotic
formula for the Laplacian on certain domains with values boundaries and
sharp remainder estimates in the Weyl formula for the Newmann Laplacian
on a class of planar regions. We discussed the functional spectrum of
contraction. We investigate some norm inequalities for certain operator sums
and differences of positive operator. We also established norm inequalities
for finite sums and inequalities for commutators of positive operators.
