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المقاله
1 - میانگین پذیری ضعیف جبر برلینگ حاصل ضرب های آزادپژوهش های نوین در ریاضی , العدد 28 , السنة 6 , زمستان 1399در این مقاله، برای گروه گسسته G=Z*Z_n و یک تابع وزن چند جملهای ω_α، نشان میدهیم که جبر برلینگ l^1 (G,ω_α) میانگینپذیر ضعیف نیست و گروه دووجهی D_∞=Z_2*Z_2 میانگینپذیر است اما l^1 (D_∞,ω) میانگینپذیرضعیف نیست. همچنین نشان می أکثردر این مقاله، برای گروه گسسته G=Z*Z_n و یک تابع وزن چند جملهای ω_α، نشان میدهیم که جبر برلینگ l^1 (G,ω_α) میانگینپذیر ضعیف نیست و گروه دووجهی D_∞=Z_2*Z_2 میانگینپذیر است اما l^1 (D_∞,ω) میانگینپذیرضعیف نیست. همچنین نشان میدهیم برای یک تابع وزن پیوسته ω روی گروه G، جبر برلینگ l^1 (G,ω)، تحت شرایطی اگر میانگینپذیرضعیف باشد آنگاه ω کراندار است. تفاصيل المقالة -
المقاله
2 - On the h-Jensen's operator inequalityJournal of Linear and Topological Algebra , العدد 2 , السنة 11 , بهار 2022In this paper, we prove Jensen's operator inequality for an h-convex function and we point out the results for classes of continuous fields of operators. Also, some generalizations of Jensen's operator inequality and some pro أکثرIn this paper, we prove Jensen's operator inequality for an h-convex function and we point out the results for classes of continuous fields of operators. Also, some generalizations of Jensen's operator inequality and some properties of the h-convex function are given. تفاصيل المقالة -
المقاله
3 - Homogeneous fuzzy wave equation on the half-line under generalized Hukuhara differentiabilityJournal of Linear and Topological Algebra , العدد 5 , السنة 11 , پاییز 2022An analytical fuzzy solution is achieved by means of the fuzzy d'Alembert formula for the fuzzy one-dimensional homogeneous wave equation in a half-line considering the generalized Hukuhara partial differentiability of the solution. In the curre أکثرAn analytical fuzzy solution is achieved by means of the fuzzy d'Alembert formula for the fuzzy one-dimensional homogeneous wave equation in a half-line considering the generalized Hukuhara partial differentiability of the solution. In the current article, the exclusive solution and the stability of the homogeneous fuzzy wave equations are brought into existence. Eventually, given the various instances represented, the efficacy and accuracy of the method are scrutinized. تفاصيل المقالة -
المقاله
4 - Operator-valued bases on Hilbert spacesJournal of Linear and Topological Algebra , العدد 5 , السنة 2 , پاییز 2013In this paper we develop a natural generalization of Schauder basis theory, we termoperator-valued basis or simply ov-basis theory, using operator-algebraic methods. We proveseveral results for ov-basis concerning duality, orthogonality, biorthogonality and minimality.W أکثرIn this paper we develop a natural generalization of Schauder basis theory, we termoperator-valued basis or simply ov-basis theory, using operator-algebraic methods. We proveseveral results for ov-basis concerning duality, orthogonality, biorthogonality and minimality.We prove that the operators of a dual ov-basis are continuous. We also dene the concepts ofBessel, Hilbert ov-basis and obtain some characterizations of them. We study orthonormaland Riesz ov-bases for Hilbert spaces. Finally we consider the stability of ov-bases undersmall perturbations. We generalize a result of Paley-Wiener [4] to the situation of ov-basis. تفاصيل المقالة -
المقاله
5 - Fixed point theorems for α-ψ-ϕ-contractive integral type mappingsJournal of Linear and Topological Algebra , العدد 5 , السنة 3 , پاییز 2014In this paper, we introduce a new concept of α-ψ-ϕ-contractiveintegral type mappings and establish some new fixed point theorems in complete metric spaces.In this paper, we introduce a new concept of α-ψ-ϕ-contractiveintegral type mappings and establish some new fixed point theorems in complete metric spaces. تفاصيل المقالة