… This paper studies certain analytic families of Banach spaces that spring naturally in the …
of families [12]. We will work in the context of admissible spaces F of analytic functions (…

… From Section 5 on we consider Banach spaces and analytic P-ideals induced by families of
finite sets. If F ⊆ [ ω ] < ω = { A ⊆ ω : | A | < ω } covers ω then Φ F ( x ) = sup ⁡ { ∑ i ∈ F | x i | …

… Banach space into R∞ and use the unique σ-finite Lebesgue measure defined on this space
as a bridge to the construction of a Lebesgue integral on every separable Banach space as …

… Let X be a complex Banach space. We recall that Hb(X) is the algebra of all entire analytic
functions on X which are bounded on bounded subsets. It is well known that Hb(X) endowed …

… space X is the principal problem of the classical invariant theory. In the case that X is an infinite
dimensional Banach space… If this space is a rearrangement invariant (see [13, Definition 2.…

… of entire analytic functions on complex Banach spaces and their … of symmetric analytic functions
on Banach spaces with respect to a … generated algebras of entire analytic functions of the …

… Theorem 16 Let E be a separable Banach space that has the property (u), then there is a
constant C > 0 and an analytic subset M of E that contains W and a sequence (5j)j>i of …

… analytic functions that are invariant with respect to semidirect products of groups of bounded
operators on Banach spaces … double-symmetric analytic functions on Banach spaces ℓ p ( C …

… Banach space representations that are infinite dimensional and topologically irreducible (Proposition
1.8). When we study the complex-analytic … results on Banach space representations…

… consider Banach spaces of analytic … space in question, and the family of all such operators
is uniformly bounded in operator norm. Many common examples of Banach spaces of analytic …