Unconditionally p-null sequences and unconditionally p-compact operators

• Autorzy: Ju Myung Kim
• Języki publikacji: EN

Abstrakty

EN

We investigate sequences and operators via the unconditionally p-summable sequences. We characterize the unconditionally p-null sequences in terms of a certain tensor product and then prove that, for every 1 ≤ p < ∞, a subset of a Banach space is relatively unconditionally p-compact if and only if it is contained in the closed convex hull of an unconditionally p-null sequence.

Kategorie tematyczne

• 47L20: Operator ideals
• 46B45: Banach sequence spaces
• 46B50: Compactness in Banach (or normed) spaces
• 46B28: Spaces of operators; tensor products; approximation properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 224
• Numer: 2
• Strony: 133-142

Daty

wydano

2014

Twórcy

autor

Ju Myung Kim

• Department of Mathematical Sciences, Seoul National University, Seoul, 151-747, Korea

Identyfikatory

DOI

10.4064/sm224-2-2