A theorem of the alternative and a two-function minimax theorem by Anton Stefanescu

“…The two main results of the paper are a theorem of the alternative of Gordan type and a two-function minimax theorem. …”
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Gelfand theorem implies Stone representation theorem of Boolean rings by Parfeny P. Saworotnow

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On the Putnam-Fuglede theorem by Yin Chen

“…We extend the Putnam-Fuglede theorem and the second-degree Putnam-Fuglede theorem to the nonnormal operators and to an elementary operator under perturbation by quasinilpotents. …”
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Measurable Vizing’s theorem by Jan Grebík

“…We prove a full measurable version of Vizing’s theorem for bounded degree Borel graphs, that is, we show that every Borel graph $\mathcal {G}$ of degree uniformly bounded by $\Delta \in \mathbb {N}$ defined on a standard probability space $(X,\mu )$ admits a $\mu $ -measurable proper edge coloring with $(\Delta +1)$ -many colors. …”
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On the Birman–Krein Theorem by Bazao, Vanderléa R., de Oliveira, César R., Diaz, Pablo A.

“…In other words, there is no nontrivial generalization of Birman–Krein Theorem that includes the preservation of a singular spectral subspace in this context.…”
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Weak Grothendieck's theorem by Lahcène Mezrag

“…In this paper, we introduce and study some properties concerning extension and weak Grothendieck's theorem (WGT). We show that the Schatten space Sp for all 0<p≤∞ does not verify the theorem of extension. …”
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The Best Approximation Theorems and Fixed Point Theorems for Discontinuous Increasing Mappings in Banach Spaces by Dezhou Kong, Lishan Liu, Yonghong Wu

“…We prove that Fan’s theorem is true for discontinuous increasing mappings f in a real partially ordered reflexive, strictly convex, and smooth Banach space X. …”
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Lebesgue Decomposition Theorem and Weak Radon-Nikodým Theorem for Generalized Fuzzy Number Measures by Cai-Li Zhou, Fu-Gui Shi

“…The Lebesgue type decomposition theorem and weak Radon-Nikodým theorem for fuzzy valued measures in separable Banach spaces are established.…”
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Abelian theorems for Whittaker transforms by Richard D. Carmichael, R. S. Pathak

Subjects: “…Abelian theorems…”
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Note on Isomorphism Theorems of Hyperrings by Muthusamy Velrajan, Arjunan Asokkumar

“…In this paper, we extend the isomorphism theorems to hyperrings, where the additions and the multiplications are hyperoperations.…”
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New proof of Nagnibida's theorem by Mubariz T. Karaev

“…Using the Duhamel product for holomorphic functions we give a new proof of Nagnibida’s theorem on unicellularity of integration operator Jα,(Jαf)(z)=∫αzf(t)dt, acting in the space Hoℓ(Ω).…”
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An Extension of the Spectral Mapping Theorem by A. R. Medghalchi, S. M. Tabatabaie

“…We give an extension of the spectral mapping theorem on hypergroups and prove that if 𝐾 is a commutative strong hypergroup with 0𝑥0005𝑒𝐾=𝑋𝑏(𝐾) and 𝜅 is a weakly continuous representation of 𝑀(𝐾) on a 𝑊∗-algebra such that for every 𝑡∈𝐾, 𝜅𝑡 is an ∗-automorphism, 𝑠𝑝𝜅 is a synthesis set for 𝐿1(𝐾) and 𝜅(𝐿1(𝐾)) is without order, then for any 𝜇 in a closed regular subalgebra of 𝑀(𝐾) containing 𝐿1(𝐾), 𝜎(𝜅(𝜇))=0𝑥0005𝑒𝜇(𝑠𝑝𝜅), where 𝑠𝑝𝜅 is the Arveson spectrum of 𝜅.…”
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Double sequence core theorems by Richard F. Patterson

“…By using these definitions and the notion of regularity for 4-dimensional matrices, extensions, and variations of the Knopp Core theorem are proved.…”
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A Proof of Łojasiewicz’s Theorem by Namhoon Kim

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An Intermediate Value Theorem for the Arboricities by Avapa Chantasartrassmee, Narong Punnim

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Abelian theorems for transformable Boehmians by Dennis Nemzer

Subjects: “…Abelian theorem…”
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On some fixed point theorems by D. Roux, S. P. Singh

“…In this paper we prove a fixed point theorem for inward mappings uing a well-known result of Ky Fan type in Hilbert space setting.…”
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The Monotone Contraction Mapping Theorem by Joseph Frank Gordon

“…In this paper, the fixed-point theorem for monotone contraction mappings in the setting of a uniformly convex smooth Banach space is studied. …”
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A note on the Boardman theorem by Zhi Lü, Chun-Lian Zhou

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Necessary and sufficient conditions in theorems by Edmundas Mazėtis, Grigorijus Melničenko

Subjects: “…theorem…”
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