NEW BEREZIN RADIUS UPPER BOUNDS

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istinad üçün kopyala

GÜRDAL M., Tapdigoglu R.

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, vol.49, no.2, pp.210-218, 2023 (ESCI)

• Nəşrin Növü: Article / Article
• Cild: 49 Say: 2
• Nəşr tarixi: 2023
• Doi nömrəsi: 10.30546/2409-4994.2023.49.2.210
• jurnalın adı: PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS
• Jurnalın baxıldığı indekslər: Emerging Sources Citation Index (ESCI), Scopus
• Səhifə sayı: pp.210-218
• Adres: Bəli

Qısa məlumat

In this paper, we provide the new Berezin radius inequalities on the space of operators defined on a functional Hilbert space. By using these inequalities, we obtain various upper bounds for the Berezin radius of functional Hilbert space operators. We prove, in particular, the following sharp upper bound ber(2) (S* T) <= 1/2 xi + 2 ber (S * T)parallel to vertical bar T vertical bar(2) + vertical bar S vertical bar(2) parallel to(ber) + delta/xi + 2 parallel to vertical bar T vertical bar(4) + vertical bar S vertical bar(4)parallel to(ber) for arbitrary T, S is an element of B(H) and xi >= 0. Other related issues are also discussed.