Banach Lattices of Compact Maps.
Banach spaces of homogeneous polynomials without the approximation property
We present simple proofs that spaces of homogeneous polynomials on and provide plenty of natural examples of Banach spaces without the approximation property. By giving necessary and sufficient conditions, our results bring to completion, at least for an important collection of Banach spaces, a circle of results begun in 1976 by R. Aron and M. Schottenloher (1976).
Banach Spaces with the Condition of Mazur.
Banachian Differentiable Spaces.
Banach-Stone Theorems for Banach Manifolds.
Banach-valued axiomatic spectra
Using axiomatic joint spectra we obtain a functional calculus which extends our previous Gelfand-Waelbroeck type results to include a Banach-valued Taylor-Waelbroeck spectrum.
Bayoumi quasi-differential is not different from Fréchet-differential
Unlike for Banach spaces, the differentiability of functions between infinite-dimensional nonlocally convex spaces has not yet been properly studied or understood. In a paper published in this Journal in 2006, Bayoumi claimed to have discovered a new notion of derivative that was more suitable for all F-spaces including the locally convex ones with a wider potential in analysis and applied mathematics than the Fréchet derivative. The aim of this short note is to dispel this misconception, since...
Bemerkung zum Bochnerschen Integral
Biholomorphic equivalence of bounded Reinhardt domains
Biholomorphic mappings and Banach function modules.
Biprojective tensor products and convolutions of vector-valued measures on a compact group
Bochner property in Banach spaces
Bolzano’s intermediate-value theorem for quasi-holomorphic maps
We extend Bolzano’s intermediate-value theorem to quasi-holomorphic maps of the space of continuous linear functionals from l p into the scalar field, (0< p<1). This space is isomorphic to l ∞.
Boolean algebras of projections and ranges of spectral measures [Book]
Borel and weakly Borel sets in Banach spaces
Borel's theorem for generalized functions
Bounded analytic sets in Banach spaces
Conditions are given which enable or disable a complex space to be mapped biholomorphically onto a bounded closed analytic subset of a Banach space. They involve on the one hand the Radon-Nikodym property and on the other hand the completeness of the Caratheodory metric of .
Bounded approximants to monotone operators on Banach spaces
Bounded convergence theorem and integral operator for operator valued measures
Bounded holomorphic mappings and the compact approximation property in Banach spaces.