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 T s s R K Rao Mathematics , 2007, Abstract: A bounded linear operator is said to be nice if its adjoint preserves extreme points of the dual unit ball. Motivated by a description due to Labuschagne and Mascioni \cite{LM} of such maps for the space of compact operators on a Hilbert space, in this article we consider a description of nice surjections on ${\mathcal K}(X,Y)$ for Banach spaces $X,Y$. We give necessary and sufficient conditions when nice surjections are given by composition operators. Our results imply automatic continuity of these maps with respect to other topologies on spaces of operators. We also formulate the corresponding result for ${\mathcal L}(X,Y)$ thereby proving an analogue of the result from \cite{LM} for $L^p$ ($1  continent. , 2011, Abstract: Ben Segal introduces the first electronic publication of Gary Lutz' short story "This Is Nice of You" (copyright Four Walls Eight Windows, 2003).  The Open Industrial & Manufacturing Engineering Journal , 2008, DOI: 10.2174/1874152500801010019] Abstract: The Food and Beverage industry, a leading sector of the Cypriot manufacturing industry is under investigation in our study. The influence of innovation as a development vehicle is considered and factors affecting it have been investigated. In order to define and introduce these factors affecting innovation in the Cypriot manufacturing sector a nationwide survey is carried out. All five prefectures (Nicosia, Ammochostos, Limasol, Larnaca and Paphos) are covered and a sample of 5% of the whole Food and Beverage sector is surveyed. A closed questionnaire, made of five sections is used in order to collect information that will be used in a second stage in order to introduce the innovation factors affecting industrial development. The results illustrate the gradual adoption of a pro-innovation culture in the Cypriot Food and Beverage Industry. Among others it was shown, that companies that have proceeded with product innovation, process innovation and organizational innovation have experienced the impact of innovation on their organizational performance.  Michael Brand Mathematics , 2013, Abstract: A Friedman number is a positive integer which is the result of an expression combining all of its own digits by use of the four basic operations, exponentiation and digit concatenation. A "nice" Friedman number is a Friedman number for which the expression constructing the number from its own digits can be represented with the original order of the digits unchanged. One of the fundamental questions regarding Friedman numbers, and particularly regarding nice Friedman numbers, is how common they are among the integers. In this paper, we prove that nice Friedman numbers have density 1, when considered in binary, ternary or base four.  Physics , 2003, Abstract: Unitary error bases generalize the Pauli matrices to higher dimensional systems. Two basic constructions of unitary error bases are known: An algebraic construction by Knill, which yields nice error bases, and a combinatorial construction by Werner, which yields shift-and-multiply bases. An open problem posed by Schlingemann and Werner (see http://www.imaph.tu-bs.de/qi/problems/6.html) relates these two constructions and asks whether each nice error basis is equivalent to a shift-and-multiply basis. We solve this problem and show that the answer is negative. However, we also show that it is always possible to find a fairly sparse representation of a nice error basis.  Stanislav Shkarin Mathematics , 2012, Abstract: Let$\A$be a semisimple unital commutative Banach algebra. We say that a Banach$\A$-module$M$is nice if every proper closed submodule of$M$is contained in a closed submodule of$M$of codimension 1. We provide examples of nice and non-nice modules.  Aleksander Ivanov Mathematics , 2013, Abstract: We study properties related to nice enumerability of countably categorical structures and properties related to extreme amenability of automorphism groups of these structures. The text substantially differs from the previous version. In particular the example of Section 3 is transported to arXiv: 1403.7610. This version is not final.  Mathematics , 2015, Abstract: The aim of this note is a classification of all nice and all inductively factored reflection arrangements. It turns out that apart from the supersolvable instances only the monomial groups$G(r,r,3)$for$r \ge 3\$ give rise to nice reflection arrangements. As a consequence of this and of the classification of all inductively free reflection arrangements from our earlier work, we deduce that the class of all inductively factored reflection arrangements coincides with the supersolvable reflection arrangements. Moreover, we extend these classifications to hereditarily factored and hereditarily inductively factored reflection arrangements.