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Keywords

ayrim algebra, lokal derivatsiya, umumlashgan differensiallash, Banach fazosi, von Neumann algebrasi.

How to Cite

AYRIM ALGEBRALARDA LOKAL UMUMLASHGAN DIFFERENSIALLASHLAR FAZOSI TAVSIFI. (2026). SYNAPSES: INSIGHTS ACROSS THE DISCIPLINES, 3(5), 518-524. https://www.universalpublishings.com/index.php/siad/article/view/18782

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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References

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