Banach-Mackey, locally complete spaces, and -summability.
Banach-Mackey spaces.
Banach-Mazur distance of central sections of a centrally symmetric convex body.
Banach-Mazur Distances and Projections on p-convex Spaces.
Banach-power-associative algebras and J-B algebras
Banach’s Continuous Inverse Theorem and Closed Graph Theorem
In this article we formalize one of the most important theorems of linear operator theory - the Closed Graph Theorem commonly used in a standard text book such as [10] in Chapter 24.3. It states that a surjective closed linear operator between Banach spaces is bounded.
Banach's school and topological algebras
We present here some evidence of the activity of Banach Lwów School of functional analysis in the field of topological algebras. We shall list several results connected with such names as Stanisław Mazur (1905-1981), Maks (Meier) Eidelheit (1910-1943), Stefan Banach (1892-1945) and Andrzej Turowicz (1904-1989) showing that if the war had not interrupted this activity we could expect more interesting results in this direction.
Banach-Saks properties and spreading models.
Banach-Saks properties in symmetric spaces of measurable operators
We study Banach-Saks properties in symmetric spaces of measurable operators. A principal result shows that if the symmetric Banach function space E on the positive semiaxis with the Fatou property has the Banach-Saks property then so also does the non-commutative space E(ℳ,τ) of τ-measurable operators affiliated with a given semifinite von Neumann algebra (ℳ,τ).
Banach-Saks properties of C*-algebras and Hilbert C*-modules.
Banach-Saks property in some Banach sequence spaces
It is proved that for any Banach space X property (β) defined by Rolewicz in [22] implies that both X and X* have the Banach-Saks property. Moreover, in Musielak-Orlicz sequence spaces, criteria for the Banach-Saks property, the near uniform convexity, the uniform Kadec-Klee property and property (H) are given.
Banach-Steinhauss theorem in quasi normed spaces
Banach-Stone Theorems and Separating Maps.
Banach-Stone Theorems for Banach Manifolds.
Banach-Stone theorems for non-separably valued Bochner – spaces
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.
Banachverbandalgebren mit einer natürlichen Wedderburn-Zerlegung.
Banachverbände mit ordnungsstetiger Dualnorm.
Barreledness of subspaces of countable codimension and the closed graph theorem
Barrelled Spaces with a B-Complete Completion.