Abstract
Ushbu maqolada ayrim (separabel) Banach algebralarda lokal umumlashgan differensiallashlar fazosi oʻrganiladi. LocGDer(A) fazosining toʻliqlik xossasi isbotlanadi, Mₙ(C) matrisa algebrasi uchun dim (GDer) = 2n²-1 formulasi keltiriladi va I-tip von Neumann algebrasida har qanday lokal umumlashgan derivatsiya global umumlashgan derivatsiya bilan bir xil ekanligi koʻrsatiladi.
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