Zobrazeno 1 - 10
of 100
pro vyhledávání: '"P A, Shoĭkhet"'
Autor:
Panero, Piergiorgio, Shoikhet, Boris
A complex $C^\bullet(C,D)(F,G)(\eta, \theta)$, generalising the Davydov-Yetter complex of a monoidal category, is constructed. Here $C,D$ are $\Bbbk$-linear (dg) monoidal categories, $F,G\colon C\to D$ are $\Bbbk$-linear (dg) strict monoidal functors
Externí odkaz:
http://arxiv.org/abs/2210.01664
Autor:
Panero, Piergiorgio, Shoikhet, Boris
In this paper, which is subsequent to our previous paper [PS] (but can be read independently from it), we continue our study of the closed model structure on the category $\mathrm{Cat}_{\mathrm{dgwu}}(\Bbbk)$ of small weakly unital dg categories (in
Externí odkaz:
http://arxiv.org/abs/2007.12716
Autor:
Panero, Piergiorgio, Shoikhet, Boris
In this paper, we study weakly unital dg categories as they were defined by Kontsevich and Soibelman [KS, Sect.4]. We construct a cofibrantly generated Quillen model structure on the category $\mathrm{Cat}_{\mathrm{dgwu}}(\Bbbk)$ of small weakly unit
Externí odkaz:
http://arxiv.org/abs/1907.07970
Let $f$ be the infinitesimal generator of a one-parameter semigroup $\left\{ F_{t}\right\} _{t\ge0}$ of holomorphic self-mappings of the open unit disk $\Delta$. In this paper we study properties of the family $R$ of resolvents $(I+rf)^{-1}:\Delta\to
Externí odkaz:
http://arxiv.org/abs/1901.02142
We define a tensor product of linear sites, and a resulting tensor product of Grothendieck categories based upon their representations as categories of linear sheaves. We show that our tensor product is a special case of the tensor product of locally
Externí odkaz:
http://arxiv.org/abs/1607.03608
The numerical range of holomorphic mappings arises in many aspects of nonlinear analysis, finite and infinite dimensional holomorphy, and complex dynamical systems. In particular, this notion plays a crucial role in establishing exponential and produ
Externí odkaz:
http://arxiv.org/abs/1502.07896
A class of maps in a complex Banach space is studied, which includes both unbounded linear operators and nonlinear holomorphic maps. The defining property, which we call {\sl pseudo-contractivity}, is introduced by means of the Abel averages of such
Externí odkaz:
http://arxiv.org/abs/1311.6698
We establish some estimates of the the angular derivatives from below for holomorphic self-maps of the unit disk at one and two fixed points of the unit circle provided there is no fixed point inside the unit disk. The results complement Cowen-Pommer
Externí odkaz:
http://arxiv.org/abs/1309.3074
In this paper we introduce a class of pseudo-dissipative holomorphic maps which contains, in particular, the class of infinitesimal generators of semigroups of holomorphic maps on the unit ball of a complex Banach space. We give a growth estimate for
Externí odkaz:
http://arxiv.org/abs/1304.6605
Necessary and sufficient conditions are presented for the Abel averages of discrete and strongly continuous semigroups, $T^k$ and $T_t$, to be power convergent in the operator norm in a complex Banach space. These results cover also the case where $T
Externí odkaz:
http://arxiv.org/abs/1208.0936