Fixed Point Theorems of Superlinear Operators with Applications by Shaoyuan Xu, Yan Han

“…As corollaries, the new fixed point theorems for α-convex operators α>1, e-convex operators, positive α homogeneous operator α>1, generalized e-convex operator, and convex operators are obtained. …”
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Schatten's theorems on functionally defined Schur algebras by Pachara Chaisuriya, Sing-Cheong Ong

“…For each triple of positive numbers p,q,r≥1 and each commutative C*-algebra ℬ with identity 1 and the set s(ℬ) of states on ℬ, the set 𝒮r(ℬ) of all matrices A=[ajk] over ℬ such that ϕ[A[r]]:=[ϕ(|ajk|r)] defines a bounded operator from ℓp to ℓq for all ϕ∈s(ℬ) is shown to be a Banach algebra under the Schur product operation, and the norm ‖A‖=‖|A|‖p,q,r=sup{‖ϕ[A[r]]‖1/r:ϕ∈s(ℬ)}. Schatten's theorems about the dual of the compact operators, the trace-class operators, and the decomposition of the dual of the algebra of all bounded operators on a Hilbert space are extended to the 𝒮r(ℬ) setting.…”
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Tauberian-type theorems with application to the Stieltjes transformation by S. B. Gaikwad, M. S. Chaudhary

“…In the second part of the paper, we extend Tauberian-type theorems for the distributional Stieltjes transformations to the distributional modified Stieltjes transformations.…”
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On Gromov's theorem and L 2-Hodge decomposition by Fu-Zhou Gong, Feng-Yu Wang

“…In particular, some known results concerning Gromov's theorem and the L 2-Hodge decomposition are considerably improved.…”
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Commutativity theorems for rings and groups with constraints on commutators by Evagelos Psomopoulos

“…Moreover, example is given to show that the group theoretic analogue of this theorem is not true in general. …”
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Historical and theoretical justification of Movement of non-alignment by I. I. Pavlov

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Theoretical and Methodological Framework of Typologization of Digital Identity by O.A. Persidskaya

“…</strong>The purpose of the article is to develop a theoretical and methodological framework for typologization a person&rsquo;s digital identity based on the following criteria: 1) the role of the digital environment and digital device; 2) the position of the person&rsquo;s event center; 3) the position of the center of human self-determination. …”
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An application of the Sakai's theorem to the characterization of H*-algebras by Borut Zalar

“…The well-known Sakai's theorem, which states that every derivation acting on a von Neumann algebra is inner, is ,used to obtain a new elegant proof of the Saworotnow's characterization theorem for associative H*-algebras via two-sided H*-algebras. …”
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Some remarks on the ergodic theorem for $U$-statistics by Dehling, Herold, Giraudo, Davide, Volný, Dalibor

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Innovations and innovative in domestic banking: Theoretical aspect by Natalia Mostovenko

“…In order to reveal the theoretical content of the concepts, the presented article examines the existing author's approaches to the definition of the concept of «banking innovations», analyzes their common features and highlights essential differences. …”
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Uniqueness Theorems of Difference Operator on Entire Functions by Jie Ding

“…We investigate the uniqueness questions of the difference operator on entire functions and obtain three uniqueness theorems using the idea of weight sharing.…”
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Empiricism and Theorizing in Epidemiology and Social Network Analysis by Richard Rothenberg, Elizabeth Costenbader

“…The connection between theory and data is an iterative one. In principle, each is informed by the other: data provide the basis for theory that in turn generates the need for new information. …”
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Uniqueness Theorems on Difference Monomials of Entire Functions by Gang Wang, Deng-li Han, Zhi-Tao Wen

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Theoretical Modeling Techniques and Their Impact on Tumor Immunology by Anna Lena Woelke, Manuela S. Murgueitio, Robert Preissner

“…To help rectify this deficit in knowledge, experimental data, accumulated from a huge number of different studies, can be integrated into theoretical models of the tumor-immune system interaction. …”
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Theoretical Aspects of Analysis of International Environmental Security by J. A. Rusakova

“…The article examines the theoretical aspects of solving the problem of environmental security. …”
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Theoretical models for chronotherapy: Periodic perturbations in hyperchaos by Juvencio Alberto Betancourt-Mar, Víctor Alfonso Méndez-Guerrero, Carlos Hernández-Rodríguez, José Manuel Nieto-Villar

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A theoretical framework for the concept of ‘Internet strategy' by Benita Steyn, Anské Grobler, Berdine Cilliers

“…‘Internet strategy’ is conceptualised based on the following theories: information theory, the communication process, mass communication theory, strategic management theory, corporate communication roles theory, and the models for developing corporate communication strategy and communication plans. …”
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Asymptotical expansions in the Kubilius theorem of large deviations by Rimantas Skrabutėnas

“… In the present paper, a local theorem of large deviations for arithmetic functions defined in Knopfmacher’s semigroup is obtained. …”
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Problems in the theoretical foundation of the functional-equivalent approach by G. J. C. Jordaan

“…For Christians who view the Bible as God’s Word which is time-directed but not time-bound, and at the same time God’s Word which communicates with believers of all time, these theoretical viewpoints of the functional-equivalent approach are problematic. …”
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On sandwich theorems for some classes of analytic functions by T. N. Shanmugam, S. Sivasubramanian, H. Silverman

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