A Fréchet Space Which Has a Continuous Norm But Whose Bidual Does Not.
A free analogue of the transportation cost inequality on the circle
A free boundary problem for compressible viscous fluids.
A free boundary problem involving limiting Sobolev exponents.
A Free Convenient Vector Space for Holomorphic Spaces.
A free stochastic partial differential equation
We get stationary solutions of a free stochastic partial differential equation. As an application, we prove equality of non-microstate and microstate free entropy dimensions under a Lipschitz like condition on conjugate variables, assuming also the von Neumann algebra embeddable. This includes an -tuple of -Gaussian random variables e.g. for .
A full characterization of multipliers for the strong -integral in the euclidean space
We study a generalization of the classical Henstock-Kurzweil integral, known as the strong -integral, introduced by Jarník and Kurzweil. Let be the space of all strongly -integrable functions on a multidimensional compact interval , equipped with the Alexiewicz norm . We show that each element in the dual space of can be represented as a strong -integral. Consequently, we prove that is strongly -integrable on for each strongly -integrable function if and only if is almost everywhere...
A function algebra without any point derivation
A function parameter in connection with interpolation of Banach spaces.
A function space C(K) not weakly homeomorphic to C(K)×C(K)
A function space Cp(X) not linearly homeomorphic to Cp(X) × ℝ
We construct two examples of infinite spaces X such that there is no continuous linear surjection from the space of continuous functions onto × ℝcp(X)cp(X). One of these examples is compact. This answers some questions of Arkhangel’skiĭ.
A function space C(X) which is weakly Lindelöf but not weakly compactly generated
A functional calculus description of real interpolation spaces for sectorial operators
For a holomorphic function ψ defined on a sector we give a condition implying the identity where A is a sectorial operator on a Banach space X. This yields all common descriptions of the real interpolation spaces for sectorial operators and allows easy proofs of the moment inequalities and reiteration results for fractional powers.
A functional calculus for quotient bounded operators.
A functional equation of Aczél and Chung in generalized functions.
A functional inequality in restricted domains of Banach modules.
A further generalization of Ky Fan's maximal inequality and its applications
A Gagliardo-Nirenberg inequality, with application to duality-based a posteriori estimation in the L^1 norm
A gauge theory for the Kadomtsev-Petviashvili system
A Gelfand-Neumark Theorem for C*-Alternative Algebras.