bounded operator
linear transformation L between normed vector spaces X and Y for which the ratio of the norm of L(v) to that of v is bounded by the same number, over all non-zero vectors v in X
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bounded operator
Summary
bounded operator ranks in the top 2% of general entities by monthly Wikipedia readership (134 views/month).[1]
Key Facts
- bounded operator's subclass of is recorded as linear operator[2].
- bounded operator's subclass of is recorded as continuous linear operator[3].
- bounded operator's opposite of is recorded as unbounded operator[4].
- bounded operator's Freebase ID is recorded as /m/02bnmt[5].
- bounded operator's different from is recorded as continuous linear operator[6].
- bounded operator's defining formula is recorded as \sup_{|x|\le1}|Lx|<\infty<sup id="cite-C6" class="cite-ref" title="bounded operator — defining formula (P2534): \sup_{|x|\le1}|Lx|<\infty">[7].
- bounded operator's BabelNet ID is recorded as 03217493n[8].
- bounded operator's MathWorld ID is recorded as BoundedOperator[9].
- bounded operator's Quora topic ID is recorded as Bounded-Operator[10].
- bounded operator's nLab ID is recorded as bounded operator[11].
- bounded operator's maintained by WikiProject is recorded as WikiProject Mathematics[12].
- bounded operator's Microsoft Academic ID is recorded as 175454919[13].
- bounded operator's in defining formula is recorded as L[14].
- bounded operator's Encyclopedia of Mathematics article ID is recorded as Bounded_operator[15].
- bounded operator's OpenAlex ID is recorded as C175454919[16].
Why It Matters
bounded operator ranks in the top 2% of general entities by monthly Wikipedia readership (134 views/month).[1] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[17] It is known by 13 alternative names across languages and contexts.[18]