Search results for "Category"

Partial *-Algebras of Operators in a PIP-Space

2009

The family of operators on a pip-space V is endowed with two, possibly different, partial multiplications, where partial means that the multiplication is not defined for any pair A,B of elements of Op(V) but only for certain couples. The two multiplications, to be called strong and weak, give rise to two different structures that coincide in certain situations. In this chapter we will discuss first the structure of Op(V) as partial *-algebra in the sense of [AIT02] and then the possibility of representing an abstract partial *-algebra into Op(V).

Commutative Partial O*-Algebras

2002

This chapter is devoted to the integrability of commutative partial O*-algebras. Three notions of weak commutativity, commutativity and strong commutativity of an O*-vector space are defined and investigated. In Section 3.1, we analyze the relation between the integrability of weakly commutative O*-vector space M and the commutativity of the von Neumann algebra (M w ′ )′. In Section 3.2, we study the integrable extensions of partial O*-algebras. In Section 3.3, we describe another explicit example, namely, the partial O*-algebra M[S, T] generated by two weakly commuting symmetric operators S and T defined on a common dense domain in a Hilbert space. In particular, we investigate in detail t…

General Theory: Topological Aspects

2009

In Chapter 1, we have analyzed the structure of pip-spaces from the algebraic point of view only, (i.e., the compatibility relation). Here we will discuss primarily the topological structure given by the partial inner product itself. The aim is to tighten the definitions so as to eliminate as many pathologies as possible. The picture that emerges is reassuringly simple: Only two types of pip-spaces seem sufficiently regular to have any practical use, namely lattices of Hilbert spaces (LHS) or Banach spaces (LBS), that we have introduced briefly in the Introduction. Our standard reference on locally convex topological vector spaces (LCS) will be the textbook of Kothe [Kot69]. In addition, fo…

An Information system design product theory for the abstract class of integrated requirements and delivery management systems

2014

Information and Communications Technology-enabled international sourcing of software-intensive systems and services (eSourcing) is increasingly used as a means of adding value, reducing costs, sharing risks, and achieving strategic aims. To maximally reap the benefits from eSourcing and to mitigate the risks, providers and clients have to be aware of and build capabilities for the eSourcing life-cycle. China is in a position to become a superpower for eSourcing service provisioning, but most Chinese eSourcing service providers are small or medium-sized and typically work for larger intermediaries instead of end-clients, limiting their business and capabilities development. The extant litera…

Open Resources as the Educational Basis for a Bachelor-level Project-Based Course

2015

This article presents an innovation-based course concept for project-based learning. In this course, student groups are asked to ideate and implement a software product based on Open Data and Open API releases. By emphasizing students’ own product ideation, the course requires and enhances self-directed learning skills and prompts the students to see the unlimited possibilities in becoming and being a practitioner of the computing discipline. Relatedly, the course provides a tool to improve student self-efficacy, as the students, coached through challenges, come to know that they are able to produce software using various open interfaces.

Sensory modalities and mental content in product experience

2015

Contemporary research in human-technology interaction emphasises the need to focus on what people experience when they interact with technological artefacts. Understanding how people experience products requires detailed investigation of how physical design properties are mentally represented, and the theorisation of how people represent information obtained through different modalities still needs work. The objective of this study is to investigate how people experience modality-related affective aspects of products, using the psychological concept of mental content. For this purpose, we adopt the framework of user psychology, which is the sub-area of psychology involved with investigating…

Affective contents of cross-cultural audiovisual experience

2015

Audiovisual presentation of a product has a direct impact on the mental representation of an individual when interacting with a product. Companies produce audiovisual contents that can be used in different cultural environments as a way of having broader impact at a cheaper cost. But do video contents have the same impact in different countries? We addressed this question by using images and videos of Iittala products (Finnish design) with the goal of finding whether participants from two countries, Finland and Spain, appraised the designs similarly. We performed an experiment in which participants interacted with three audiovisual products depicting images/videos of the brand design. Throu…

Customer Perception Driven Product Evolution - Facilitation of Structured Feedback Collection

2016

Competitive environment not only requires effective advertising strategies from the product producers and service providers, but also to do comprehensive and sufficient analysis of their customers to understand their needs and expectations. Successfully involving customers into a product/service co-creation process, companies more likely increase their future revenue. Customer feedback analysis is widely applied in marketing and product development. Among other challenges (e.g. customer engagement, feedback collection, etc.) automation of customer feedback analysis becomes very demanding task and requires advance intelligent tools to understand customers’ product perception and preferences.…

STOP 4: Internal structure and genesis of the sediments underlying Terrace III of the River Gauja at Dukuļi farmhouse and Valmiera town

2014

The link of a finitely determined map germ from R 2 to R 2

2010

Let f: (R2, 0) → (R2, 0) be a finitely determined map germ. The link of f is obtained by taking a small enough representative f: U ⊂ R2 → R2 and the intersection of its image with a small enough sphere Sε1 centered at the origin in R2. We will describe the topology of f in terms of the Gauss word associated to its link.