Results 211 to 220 of about 1,159 (264)

Bio‐Inspired Molecular Events in Poly(Ionic Liquids)

open access: yesAdvanced Functional Materials, EarlyView.
Originating from dipolar and polar inter‐ and intra‐chain interactions of the building blocks, the topologies and morphologies of poly(ionic liquids) (PIL) govern their nano‐ and micro‐processibility. Modulating the interactions of cation‐anion pairs with aliphatic dipolar components enables the tunability of properties, facilitated by “bottom‐up ...
Jiahui Liu, Marek W. Urban
wiley   +1 more source

On Ideal Operators

Positivity, 2003
Let \(E, F\) be Riesz spaces. \(T: E \to F\) is called an ideal (inverse ideal) operator if \(T (I) (T^{-1} (J))\) is an order ideal in \(E (F)\) for each order ideal \(I (J)\) in \(E (F)\). It is shown that these operators can be characterized by their action on principal order ideals.
openaire   +3 more sources

Operator Ideals Generalizing the Ideal of Strictly Singular Operators

Mathematische Nachrichten, 1980
AbstractIt is well‐known that an operator T ∈ L(E, F) is strictly singular if ∥Tx∥≧λ∥x∥ on a subspace Z ⊂ E implies dim Z < + ∞. The present paper deals with ideals of operators defined by a condition — ∥Tx∥≧λ∥x∥ on an infinite‐dimensional subspace Z ⊂ E implies Z ∉ F — F being a „quasi‐injective”︁ class of BANACH spaces.
openaire   +1 more source

Two-Lipschitz operator ideals

Journal of Mathematical Analysis and Applications, 2020
The notion of two-Lipschitz operator arises as a natural extension of the idea of Lipschitz operator from \(X\) (a metric space) to \(E\) (a Banach space) to operators defined on \(X \times Y\) (\(X\) and \(Y\) being metric spaces) and taking values on \(E\). As usual, it is assumed that \(X\) and \(Y\) have each a distinguished point (both denoted by \
Hamidi, Khaled   +3 more
openaire   +2 more sources

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