A description of the set of m-sectorial extensions of a dual pair {A1, A2} of nonnegative operators is obtained. Some classes of nonaccretive extensions of the dual pair {A1, A2} are described too. Both problems are reduced to similar problems for a dual pair {T1, T2} of nondensely defined symmetric contractions Tj = (I−Aj)(I+Aj), j ∈ {1, 2}. In turn these problems are reduced to the investigat...

In order to understand a boundary description of Hawking radiation in AdS/CFT correspondence, we investigate the trace anomaly method in AdS2 space. In this method, Hawking radiation is derived from the trace anomaly of energy-momentum tensor in the bulk. We find a correspondence between the energy-momentum tensor and a composite operator in CFT1 and understand the anomalous properties of the e...

We describe the construction of a grammar and lexicon for Latin in the AGFL formalism, in particular the generation of the lexicon by means of transduction and the description of the syntax using the Free Word Order operator. From these two components, an efficient TopDown chart parser is generated automatically. We measure the lexical and syntactical coverage of the parser and describe how to ...

The present paper gives a rigorous description of a model of the quantized electromagnetic field interacting with a classical electromagnetic potential A. The result of the model is surprisingly simple: the interacting field operator  equals the sum Â+A Î of the non-interacting field operator and the given classical potential. This result is shown to agree with common knowledge about the problem.

This paper presents a few additions to commutant lifting theory. An operator interpolation problem is introduced and shown to be equivalent to the relaxed commutant lifting problem. Using this connection a description of all solutions of the former problem is given. Also a new application, involving bounded operators induced by H 2 operator-valued functions, is presented.

Patients who receive medical care for musculoskeletal pain of rheumatic diseases often benefit from additional osteopathic manipulative treatment. This article offers a brief description of commonly used treatment modalities. It also includes discussion of indications as well as contraindications of operator-director versus operator-monitored techniques.

We characterize the reproducing kernel Hilbert spaces whose elements are p-integrable functions in terms of the boundedness of the integral operator whose kernel is the reproducing kernel. Moreover, for p = 2 we show that the spectral decomposition of this integral operator gives a complete description of the reproducing kernel.

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Revision of a Description Logic-based ontology to incorporate newly received information consistently is an important problem for the lifecycle of ontologies. Many approaches in the theory of belief revision have been applied to deal with this problem and most of them focus on the postulate or logical properties of a revision operator in Description Logics (DLs). However, there is no coherent v...