Nontrivial isometries on alpha).
Nonwandering operators in Banach space.
Non-weakly supercyclic weighted composition operators.
Norm attaining operators
Norm conditions for real-algebra isomorphisms between uniform algebras
Let A and B be uniform algebras. Suppose that α ≠ 0 and A 1 ⊂ A. Let ρ, τ: A 1 → A and S, T: A 1 → B be mappings. Suppose that ρ(A 1), τ(A 1) and S(A 1), T(A 1) are closed under multiplications and contain expA and expB, respectively. If ‖S(f)T(g) − α‖∞ = ‖ρ(f)τ(g) − α‖∞ for all f, g ∈ A 1, S(e 1)−1 ∈ S(A 1) and S(e 1) ∈ T(A 1) for some e 1 ∈ A 1 with ρ(e 1) = 1, then there exists a real-algebra isomorphism : A → B such that (ρ(f)) = S(e 1)−1 S(f) for every f ∈ A 1. We also give some applications...
Norm continuity of -semigroups
We show that a positive semigroup on with generator A and ||R(α + i β)|| → 0 as |β| → ∞ for some α ∈ ℝ is continuous in the operator norm for t>0. The proof is based on a criterion for norm continuity in terms of “smoothing properties” of certain convolution operators on general Banach spaces and an extrapolation result for the -scale, which may be of independent interest.
Norm convergence of some power series of operators in with applications in ergodic theory
Let X be a closed subspace of , where μ is an arbitrary measure and 1 < p < ∞. Let U be an invertible operator on X such that . Motivated by applications in ergodic theory, we obtain (optimal) conditions for the convergence of series like , 0 ≤ α < 1, in terms of , generalizing results for unitary (or normal) operators in L²(μ). The proofs make use of the spectral integration initiated by Berkson and Gillespie and, more particularly, of results from a paper by Berkson-Bourgain-Gillespie....
Norm Derivatives on Spaces of Operators.
Norm equivalence and composition operators between Bloch/Lipschitz spaces of the ball.
Norm estimates of discrete Schrödinger operators
Harper’s operator is defined on by where . We show that the norm of is less than or equal to for . This solves a conjecture stated in [1]. A general formula for estimating the norm of self-adjoint tridiagonal infinite matrices is also derived.
Norm inequalities for integral operators on cones
Norm of a derivation and hyponormal operators.
Normal extensions of commutative subnormal operators
Normal Hilbert modules over the ball algebra A(B)
The normal cohomology functor is introduced from the category of all normal Hilbert modules over the ball algebra to the category of A(B)-modules. From the calculation of -groups, we show that every normal C(∂B)-extension of a normal Hilbert module (viewed as a Hilbert module over A(B) is normal projective and normal injective. It follows that there is a natural isomorphism between Hom of normal Shilov modules and that of their quotient modules, which is a new lifting theorem of normal Shilov...
Normal operators spaces of distributions.
Norms and Determinants of Linear Mappings.
Norms of certain operators on weighted spaces and Lorentz sequence spaces.
Norms of composition operators on the Hardy space.
Norms of Harmonic Projection Operators on Compact Lie Groups.
Norms of inverses, spectra, and pseudospectra of large truncated Wiener-Hopf operators and Toeplitz matrices.