Counterexample to Peano's theorem in infinite-dimensional F '-spaces

Let $E$ be a nonnormable Frechet space, and let $E'$ be the space of all continuous linear functionals on $E$ in the strong topology. A continuous mapping $f : E' \to E'$ such that for any $t_0\in R$ and $x_0\in E'$, the Cauchy problem $\dot x= f(x)$, x(t_0) = x_0$ has no solutions is constructed.

Some results on solvability of ordinary linear differential equations in locally convex spaces

Let $\Gamma$ be the class of sequentially complete locally convex spaces such that an existence theorem holds for the linear Cauchy problem $\dot x = Ax$, $x(0) = x_0$ with respect to functions $x: R\to E$. It is proved that if $E\in \Gamma$, then $E\times R^A$ is-an-element-of $\Gamma$ for an arbitrary set $A$. It is also proved that a topological product of infinitely many infinite-dimensional Frechet spaces, each not isomorphic to $\omega$, does not belong to $\Gamma$.

‘The Judiciary and Political Change in Africa: Developing Transitional Jurisprudence in Nigeria’

At a time of increased evaluations of law, human rights, and the rise of judicial power all over the globe, the work of most African judiciaries and the principles of the jurisprudence they espouse in promoting social justice remain an unlikely focus of comparative legal scholarship. This ought not to be so in view of the considerable activities of the courts on the continent in the dawn of the third wave of democratization. This article explores the work of the Nigerian Supreme Court in the political transition to democracy since 1999. Utilizing insights from the work of Ruti Teitel, it attempts to outline some of the major constitutional and extraconstitutional principles adopted by the Court in mediating intergovernmental contestations in the turbulent transition away from almost three decades of authoritarian military rule. It emerges that the task of fostering social transformation through the “weakest” branch seriously tasks the institutional integrity of the judiciary.

'Calling the Judiciary to Account for the Past: Transitional Justice and Judicial Accountability in Nigeria'

Institutional and individual accountability is an important feature of societies in transition from conflict or authoritarian rule. The imperative of accountability has both normative and transformational underpinnings in the context of restoration of the rule of law and democracy. This article argues a case for extending the purview of truth-telling processes to the judiciary in postauthoritarian contexts. The driving force behind the inquiry is the proposition that the judiciary as the third arm of government at all times participates in governance. To contextualize the argument, I focus on judicial governance and accountability within the paradigm of Nigeria’s transition to democracy after decades of authoritarian military rule.

Protest practice and (tree) cultures of conflict: understanding the spaces of ‘tree maiming’ in eighteenth- and early nineteenth-century England

Developing understandings of protest and cultures of resistance has been a central theme of the 'new' cultural geography of the 1990s and 2000s. But whilst geographers of the here and now have been highly sensitive to the importance of acts of protest which occur outside of the context of broader social movements, geographers concerned with past protests have tended to focus overwhelmingly upon either understanding the development of social movements or highly specific place-based studies. Through a focus upon the hitherto ignored practice of 'tree maiming', this paper demonstrates not only the value of examining specific protest practices in helping to better understand the complexity of conflict, but also how in periods of acute socio-economic change the evolving relationship between humans and the non-human – in this case trees – is a central discourse to the protest practices of the poor. Such attacks often involved complex cultural understandings about the ways in which trees should – and should not – be socially enrolled.

Two-dimensional Banach spaces with polynomial numerical index zero

We study two-dimensional Banach spaces with polynomial numerical indices equal to zero.