集体序收敛与算子的集体合格集
Collective order convergence and collectively qualified sets of operators
AI总结：
本文研究向量格中算子的集体序收敛与集体合格集，证明集体序到范数有界集在算子范数下有界，集体序连续集集体序有界。
摘要：
研究了向量格中序收敛的集体版本以及相应的算子集体合格集类型。证明了集体序到范数有界集在算子范数下有界，且集体序连续集是集体序有界的。
英文摘要：
Collective versions of order convergences and corresponding types of collectively qualified sets of operators in vector lattices are investigated. It is proved that collectively order to norm bounded sets are bounded in the operator norm and collectively order continuous sets are collectively order bounded.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
