dentable

Adjective

Meaning

Capable of being dented.

(mathematics, of a closed convex subset C of a Banach space Y) Admitting slices of arbitrarily small diameter, where a slice of C is a subset of the form



S
(
λ
,
α
)


{\displaystyle S(\lambda,\alpha )}

=



{
y
∈
C


|


λ
(
y
)
≥

|


|

λ

|



|


∞
,
C


−
α
}


{\displaystyle \{y\in C\;|\;\lambda (y)\geq ||\lambda ||_{\infty,C}-\alpha \}}

for some



λ
∈

Y

∗




{\displaystyle \lambda \in Y^{*}}

and some



α
>
0


{\displaystyle \alpha >0}

.

Anagrams

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