The bidual of the space of polynomials on a Banach space.
The Bilinear Field of Values.
The bilinear maximal functions map into for .
The Bishop-Phelps theorem and the RNP
The Bishop-Phelps-Bollobás property for numerical radius in ℓ₁(ℂ)
We show that the set of bounded linear operators from X to X admits a Bishop-Phelps-Bollobás type theorem for numerical radius whenever X is ℓ₁(ℂ) or c₀(ℂ). As an essential tool we provide two constructive versions of the classical Bishop-Phelps-Bollobás theorem for ℓ₁(ℂ).
The Bisognano-Wichmann theorem for charged states and the conformal boundary of a black hole.
The Bloch space for the minimal ball
We introduce the Bloch space for the minimal ball and we prove that this space can be identified with the dual of a certain analytic space which is strongly related to the Bergman theory on the minimal ball.
The block decomposition of the weighted Besov spaces
The Bochner and the monotone integrals with respect to a nuclear-valued finitely additive measure
The Bochner-Kolmogorov extension theorem for semispectral measures
The Bohr-Pál theorem and the Sobolev space
The well-known Bohr-Pál theorem asserts that for every continuous real-valued function f on the circle there exists a change of variable, i.e., a homeomorphism h of onto itself, such that the Fourier series of the superposition f ∘ h converges uniformly. Subsequent improvements of this result imply that actually there exists a homeomorphism that brings f into the Sobolev space . This refined version of the Bohr-Pál theorem does not extend to complex-valued functions. We show that if α < 1/2,...
The Bornological Topology on the Space of Holomorphic Mappings on a Banach Space.
The bottleneck conjecture.
The bounded approximation property for the predual of the space of bounded holomorphic mappings
When U is the open unit ball of a separable Banach space E, we show that , the predual of the space of bounded holomorphic mappings on U, has the bounded approximation property if and only if E has the bounded approximation property.
The bounded approximation property for weakly uniformly continuous type holomorphic mappings.
The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces
The main purpose of this paper is to prove the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with a variable exponent. As an application we prove the boundedness of certain sublinear operators on the weighted variable Lebesgue space.
The boundedness of multilinear commutators of singular integrals on Lebesgue spaces with variable exponent
The boundednees of multilinear commutators of Calderón-Zygmund singular integrals on Lebesgue spaces with variable exponent is obtained. The multilinear commutators of generalized Hardy-Littlewood maximal operator are also considered.
The boundedness principle for lattice-normed spaces.
The Bourgain algebra of the disk algebra A(𝔻) and the algebra QA
It is shown that the Bourgain algebra of the disk algebra A() with respect to is the algebra generated by the Blaschke products having only a finite number of singularities. It is also proved that, with respect to , the algebra QA of bounded analytic functions of vanishing mean oscillation is invariant under the Bourgain map as is .
The bundle convergence in von Neumann algebras and their -spaces
A stronger version of almost uniform convergence in von Neumann algebras is introduced. This "bundle convergence" is additive and the limit is unique. Some extensions of classical limit theorems are obtained.