作者：Claus Sorensen 来源：[J].Representation Theory of the American Mathematical Society, 2020, Vol.24 (5), pp.151-177 摘要：In this article we establish a version of Koszul duality for filtered rings arising from $p$-adic Lie groups. Our precise setup is the following. We let $G$ be a uniform pro-$p$ group and consider its completed group algebra $\Omega =k\llbracket G\rrbracket$ with coefficient...
 作者：Sivaram K. Narayan , Daniel Sievewright , Maria Tjani 来源：[J].Proceedings of the American Mathematical Society(IF 0.609), 2020, Vol.148 (5), pp.2117-2127 摘要：Let $\varphi$ be an analytic self-map of the open unit disk $\mathbb{D}$. We study the complex symmetry of composition operators $C_\varphi$ on weighted Hardy spaces induced by a bounded sequence. For any analytic self-map of $\mathbb{D}$ that is not an elliptic automorphis...
 作者：Giovanni Di Fratta , Alberto Fiorenza 来源：[J].Proceedings of the American Mathematical Society(IF 0.609), 2020, Vol.148 (5), pp.2143-2148 摘要：We prove a local regularity result for distributional solutions of Poisson's equation with $L^p$ data. We use a very short argument based on Weyl's lemma and the Riesz-Fréchet representation theorem.
 作者：Akash Anand , Sameer Chavan , Shailesh Trivedi 来源：[J].Proceedings of the American Mathematical Society(IF 0.609), 2020, Vol.148 (5), pp.2129-2142 摘要：The wandering subspace problem for an analytic norm-increasing $m$-isometry $T$ on a Hilbert space $\mathcal {H}$ asks whether every $T$-invariant subspace of $\mathcal {H}$ can be generated by a wandering subspace. An affirmative solution to this problem for $m=1$ is ascri...
 作者：Khadime Salame 来源：[J].Proceedings of the American Mathematical Society(IF 0.609), 2020, Vol.148 (5), pp.1999-2008 摘要：In this paper we are concerned with the study of a long-standing open problem posed by Lau in 1976. This problem is about whether the left amenability property of the space of left uniformly continuous functions of a semitopological semigroup is equivalent to the existence of a c...
 作者：Dominic Searles 来源：[J].Proceedings of the American Mathematical Society(IF 0.609), 2020, Vol.148 (5), pp.1933-1943 摘要：The extended Schur functions form a basis of quasisymmetric functions that contains the Schur functions. We provide a representation-theoretic interpretation of this basis by constructing 0-Hecke modules whose quasisymmetric characteristics are the extended Schur functions. We fu...
 作者：Guillaume Rond 来源：[J].Proceedings of the American Mathematical Society(IF 0.609), 2020, Vol.148 (5), pp.2097-2102 摘要：We give an example of a real algebraic manifold embedded in a complex space that does not satisfy the Nash-Artin approximation property. This Nash-Artin approximation property is closely related to the problem of determining when the biholomorphic equivalence for germs of real al...
 作者：Andre Kornell 来源：[J].Proceedings of the American Mathematical Society(IF 0.609), 2020, Vol.148 (5), pp.1971-1986 摘要：We define a loop to be quantum nullhomotopic if and only if it admits a nonempty quantum set of extensions to the unit disk. We show that the canonical loop in the unit circle is not quantum nullhomotopic, but that every loop in the real projective plane is quantum nullhomotopic....
 作者：Naoko Kamada , Seiichi Kamada 来源：[J].Proceedings of the American Mathematical Society(IF 0.609), 2020, Vol.148 (5), pp.2273-2285 摘要：A virtual link is a generalization of a classical link that is defined as an equivalence class of certain diagrams, called virtual link diagrams. It is further generalized to a twisted link. Twisted links are in one-to-one correspondence with stable equivalence classes of links i...
 作者：Botong Wang 来源：[J].Proceedings of the American Mathematical Society(IF 0.609), 2020, Vol.148 (5), pp.2091-2096 摘要：We construct irreducible complex projective varieties such that the Lyubeznik numbers of their affine cones depend on the choices of projective embeddings. The main ingredient is the recent work of Reichelt-Saito-Walther, where the Lyubeznik numbers are reinterpreted using perver...