✦ LIBER ✦

Quantitative Versions of Hereditary Results on M-Ideals of Compact Operators

✍ Scribed by Rainis Haller; Eve Oja; Eckart Plewnia

Publisher: John Wiley and Sons
Year: 2002
Tongue: English
Weight: 229 KB
Volume: 246-247
Category: Article
ISSN: 0025-584X
DOI: 10.1002/1522-2616(200212)246:1<106::aid-mana106>3.0.co;2-4

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On M-Ideals of Compact Operators in Lore

On M-Ideals of Compact Operators in Lorentz Sequence Spaces

✍ Ülar Kahre; Ly Kirikal; Eve Oja 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 117 KB

Let X = d v p and Y = d w q be Lorentz sequence spaces. We investigate when the space K X Y of compact linear operators acting from X to Y forms or does not form an M-ideal (in the space of bounded linear operators). We show that K X Y fails to be a non-trivial M-ideal whenever p = 1 or p > q. In th

Remarks on M-Ideals of Compact Operators

Remarks on M-Ideals of Compact Operators on X ⊕p X

✍ Eve Oja; Dirk Werner 📂 Article 📅 1991 🏛 John Wiley and Sons 🌐 English ⚖ 473 KB

We characterize those BANACH spaces X for which K(X 0, X) is an M-ideal in L(X 0, X) by means of a variant of the compact metric approximation property. As a consequence we obtain that such a space X must be hereditarily P-rich.

On Ideals of Compact Operators Satisfyin

On Ideals of Compact Operators Satisfying theM(r, s)-Inequality

✍ Juan Carlos Cabello; Eduardo Nieto; Eve Oja 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 205 KB

Let r, s g 0, 1 . We prove that a Banach space X satisfies the M r, s -inequality Ži.e., 5 5 5 5 5 5 x\*\*\* G r x\*\*\* q s x\*\*\* y x\*\*\* ᭙ x\*\*\* g X \*\*\*, . where is the canonical projection of X \*\*\* onto X \* whenever r q sr2 ) 1 and Ž . Ž . H there exists a norm one projection P on L

On the Application of Some of M. G. Krei

On the Application of Some of M. G. Krein's Results to the Spectral Analysis of Sturm–Liouville Operators

✍ Sergey A. Denisov 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 124 KB

In one of his works, M.G. Krein discovered an analogy between polynomials orthogonal on the unit circle and generalized eigenfunctions of certain differential systems. We used some ideas of this paper to obtain new results in spectral analysis of Sturm-Liouville operators.