Strictly singular operators in pairs of L (p) space

Let E and F be Banach spaces. A linear operator from E to F is said to be strictly singular if, for any subspace Q aS, E, the restriction of A to Q is not an isomorphism. A compactness criterion for any strictly singular operator from L (p) to L (q) is found. There exists a strictly singular but not superstrictly singular operator on L (p) , provided that p not equal 2.

A functional representation of almost isometries

For each quasi-metric space X we consider the convex lattice SLip(1)(X) of all semi-Lipschitz functions on X with semi-Lipschitz constant not greater than 1. If X and Y are two complete quasi-metric spaces, we prove that every convex lattice isomorphism T from SLip(1)(Y) onto SLip(1)(X) can be written in the form Tf = c . (f o tau) + phi, where tau is an isometry, c > 0 and phi is an element of SLip(1)(X). As a consequence, we obtain that two complete quasi-metric spaces are almost isometric if, and only if, there exists an almost-unital convex lattice isomorphism between SLip(1)(X) and SLip(1) (Y).

Propuesta de un análisis metafórico-poético en una novela de ciencia ficción: 2001, una odisea del espacio

The aim of this doctoral thesis is to analyse both the text (production) and the set of cognition processes which facilitate the understanding of a masterpiece of Science Fiction: 2001, A Space Odyssey from a new perspective. Unlike other literary theories, texts in cognitive poetics (i.e. Structuralism, Generative Linguistics, Literary Criticism) are projected on the readerś minds by means of cognitive procedures. Cognitive poetics uses tools of cognitive science in order to understand literature (and in this particular case, Science Fiction). This has lead to a great change in our understanding of texts, literary and otherwise. This literary analysis was carried out on the Science Fiction genre based on the assumptions of cognitive poetics. Due to the peculiar kind of subjects touched upon by this genre, it has been theorised that the type of metaphor used for both its creation and style are rather different from other genres. Science Fiction coincides with other genres of writing in that it contains its own specific ways of providing language with a meaning while making it so innovative that many literary theories point out that it is written differently or that it is necessary to possess single reading codes in order to be fully understood. The methodology used for this thesis required a metaphorical basic and poetic conceptual analysis according to the poetical metaphor theory developed by Lakoff and Turner (1989). The aim of this metaphorical study is to analyse the basic and conceptual structure of 2001, A Space Odyssey by A. C. Clarke. The parameters of literary conceptualization of Science Fiction established by Peter Stockwell in his Poetics of Science Fiction (2000) were also applied in order to analyse this novel. The ICMs (Idealised Cognitive Models) were then examined to determine the presence of isomorphism related to the production level...