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Displaying similar documents to “The Bade property and the λ-property in spaces of convergent sequences.”

Solidity in sequence spaces.

I. J. Maddox (1991)

Revista Matemática de la Universidad Complutense de Madrid

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Relations are established between several notions of solidity in vector-valued sequence spaces, and a generalized Köthe-Toeplitz dual space is introduced in the setting of a Banach algebra.

Generalized limits and a mean ergodic theorem

Yuan-Chuan Li, Sen-Yen Shaw (1996)

Studia Mathematica

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For a given linear operator L on ℓ ∞ with ∥L∥ = 1 and L(1) = 1, a notion of limit, called the L-limit, is defined for bounded sequences in a normed linear space X. In the case where L is the left shift operator on ℓ ∞ and X = ℓ ∞ , the definition of L-limit reduces to Lorentz’s definition of σ-limit, which is described by means of Banach limits on ℓ ∞ . We discuss some properties of L-limits, characterize reflexive spaces in terms of existence of L-limits of bounded sequences, and formulate a version...

The E and K functionals for the pair (X (A), l(B)).

Stefan Ericsson (1997)

Collectanea Mathematica

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We prove some exact formulas for the E and K functionals for pairs of the type (X(A),l sub ∞ (B)) where X has the lattice property. These formulas are extensions of their well-known counterparts in the scalar valued case. In particular we generalize formulas by Pisier and by the present author.