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Ranks of quantum states with prescribed reduced states
No full textLet \cM_n be the set of complex matrices. In this note, all the possible ranks of a bipartite state in \cM_m\otimes \cM_n with prescribed reduced states in the two subsystems, are determined. The results are used to determine the Choi rank of quantum channels \Phi: \cM_m \rightarrow \cM_n sending to a specific state \sigma_2 \in \cM_n
The Largest Eigenvalue and Some Hamiltonian Properties of Graphs
No full textIn this note, sufficient conditions, based on the largest eigenvalue, are presented for some Hamiltonian properties of graphs
Bounded linear operators that preserve the weak supermajorization on
No full textLinear preservers of weak supermajorization which is defined on positive functions contained in the discrete Lebesgue space are characterized. Two different classes of operators that preserve the weak supermajorization are formed. It is shown that every linear preserver may be decomposed as sum of two operators from the above classes, and conversely, the sum of two operators which satisfy an additional condition is a linear preserver. Necessary and sufficient conditions under which a bounded linear operator is a linear preserver of the weak supermajorization are given. It is concluded that positive linear preservers of the weak supermajorization coincide with preservers of weak majorization and standard majorization on
Positive and Z-operators on Closed Convex Cones
No full textLet be a closed convex cone with dual \dual{K} in a finite-dimensional real Hilbert space. A \emph{positive operator} on is a linear operator such that L\of{K} \subseteq K. Positive operators generalize the nonnegative matrices and are essential to the Perron-Frobenius theory. It is said that is a \emph{\textbf{Z}-operator} on if % \begin{equation*} \ip{L\of{x}}{s} \le 0 \;\text{ for all } \pair{x}{s} \in \cartprod{K}{\dual{K}} \text{ such that } \ip{x}{s} = 0. \end{equation*} % The \textbf{Z}-operators are generalizations of \textbf{Z}-matrices (whose off-diagonal elements are nonpositive) and they arise in dynamical systems, economics, game theory, and elsewhere. In this paper, the positive and \textbf{Z}-operators are connected. This extends the work of Schneider, Vidyasagar, and Tam on proper cones, and reveals some interesting similarities between the two families
Breaking Through the Concrete Ceiling: Tradeswomen in the United States Tell Their Stories of Struggle and Success
No full textToday, women comprise about half of the United States workforce. Yet, they are still the majority of workers in the lowest paid jobs. In the construction industry, on-the-job training and unions have helped generations of white tradesmen acquire wages and benefits supportive of themselves and their families. This paper explores women’s desires to gain careers in the building trades, where they currently represent approximately 3% of workers. Data gained from interviews with tradeswomen and others in the construction industry indicate that gender parity remains elusive. As opposed to classical economic theory and construction industry conventional wisdom positing that women do not want to work construction, or are not able, this essay explores barriers in place keeping tradeswomen from successful careers
Eubanks, Virginia (2017) Automating Inequality: How High-Tech Tools Profile, Police, and Punish the Poor, St. Martin’s Press, New York, NY.
No full textOccupying the Picket Line: Labor and Occupy in South Central Indiana
No full textThis article examines the relationship between a striking labor union and a local Occupy group in South Central Indiana in fall, 2011. It looks at areas of cooperation, tension, and coordination between the two groups within the context of Occupy/organized labor relations during the same period in other locations in the United States. The article examines attitudes of union members and Occupy participants regarding each other, unions, working people, class, labor law, strikes, and direct action. This work examines areas of agreement and mutual benefit between the striking union and the Occupy group, while also discussing the major areas of tension in the specific case in Southern Indiana and in other instances where Occupy groups and labor organizations came into contact. The article concludes with a discussion of major difficulties in the Occupy/labor relationship, and avenues of potential cooperation
The Moral Economy of Department Stores’ Working-Class and their Class Identity
No full textGlobalised capitalism has changed the landscape of the working-class in different ways both in the Global North and in the Global South, including identities, moral frames, working places, and livelihood strategies. However, these transformations do not imply the disappearance of the working class. Precarity and insecurity is expanding (Zweig 2016), even reaching the middle-class (Standing 2014), and the core of the social and economic relations between labour and capital pervades. In this article, I use data collected from two sources; firstly, 40 interviews with the head of households/budget planners of working-class families from two cities in Chile, Santiago, the capital, and Copiapó, a mining town in the North, and secondly, secondary data on class self-identification. I want to bring attention to different ways in which the workingclass identity, culture and consciousness can be performed by the use of different categories in discourses which migrate from political or market sphere to the everyday lives of workingclass families, in particular of those who work in the retail sector for big companies. A social structure is characterised by objective-material positions, but also by how this structure is portrayed, enacted and legitimised (Crompton 1997). Therefore, together with the structural conditions of a financialized consumption, low-productivity services economy and debt economy, these ‘middle-classness’ discourses make sense in the moral economy of the socalled ‘services proletariat’
‘A Little Crow in the Tree’: Growing Inequality and White Working-Class Politics in the U.S.
No full textThere have been troubling trends in economic inequality, deprivation, and insecurity in the U.S. since the 1970s. This inequality and insecurity has left the American social fabric ‘fraying at the edges,’ in the words of Joseph Stiglitz. Scholars have recently begun focusing their attention on phenomena which are reflective of and associated with this fraying social fabric: the increasing economic insecurity and emerging ‘politics of resentment’ of the White working class in the U.S. This piece contains excerpts from interviews that Lawrence Eppard conducted with two important scholars, Arlie Hochschild and Richard Wilkinson, who have explored these issues in their work in different ways. The interviews touch on a variety of topics, including growing inequality and its social consequences, the role of government in addressing inequality, White working-class resentment, the impact of racism and sexism on White working-class attitudes and politics, the 2016 U.S. presidential election, political polarization, and dominant American notions of freedom. Much of the discussion focuses on Hochschild’s work in Strangers in Their Own Land and Wilkinson’s work with Kate Pickett in The Spirit Level
