CHEKLI O’LCHAMLI VEKTOR FAZOLARDA AYRIM CHIZIQLI OPERATORLARNING HARAKTERIZATSIYASI

Authors

  • Arzikulov Farhodjon Nematjonivich V.I. Romanovskiy nomidagi matematika instituti bosh ilmiy hodimi,
  • Ubaydullayeva Maftuna Anvarjon qizi Namangan davlat universiteti magistranti

Abstract

Ushbu maqoladagi asosiy maqsadimiz chekli o’lchamli vektor fazoda 2-lokal chiziqli operatorni aniqlovchi chiziqli operatorlarning matritsalariumumiy ko’rinishi qanday bo’lganda ushbu 2-lokal chiziqli operatorlarning chiziqli operator bo’lishligini aniqlash .

References

A. Gleason. A characterization of maximal ideals. J. Analyse Math. 19, 171-172 (1967).

J. Kahane, W. Zelazko. A characterization of maximal ideals in commutative Banach algebras. Studia Math. 29, 339-343 (1968).

S. Kowalski, Z. Slodkowski. A characterization of multiplicative linear functionals in Banach algebras. Studia Math. 67 (1980) 215-223

P. Shemrl. Local automorphisms and derivations on B(H). Proc. Amer. Math. Soc. 125 (1997) 2677-2680.

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Published

2023-05-06