This is an announcement for the paper "On maps which preserve equality of distance in F-spaces" by Dongni Tan.
Abstract: In order to generalize the results of Mazur-Ulam and Vogt, we shall prove that any map T which preserves equality of distance with T(0)=0 between two F-spaces without surjective condition is linear. Then , as a special case linear isometries are characterized through a simple property of their range.
Archive classification: math.FA math.MG
Mathematics Subject Classification: 46A16
Remarks: 11 pages, 385 figures
The source file(s), DongniTan.tex: 17852 bytes, is(are) stored in gzipped form as 0709.3620.gz with size 6kb. The corresponding postcript file has gzipped size 66kb.
Submitted from: 0110127@mail.nankai.edu.cn
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0709.3620
or
http://arXiv.org/abs/0709.3620
or by email in unzipped form by transmitting an empty message with subject line
uget 0709.3620
or in gzipped form by using subject line
get 0709.3620
to: math@arXiv.org.
Tenure Track Position, Geometrical Functional Analysis
The Department of Mathematical and Statistical Sciences at the University of Alberta invites applications for a tenure track position in the area of Geometrical Functional Analysis. We primarily seek candidates at the Assistant Professor level, but exceptional candidates at a more senior level will be considered.
The successful candidate will have established accomplishments and outstanding promise in research, as well as a strong commitment to graduate and undergraduate teaching. Candidates must hold a PhD degree. We offer an excellent research environment with a normal teaching load of three courses per year. A fit with some of the existing research being presently conducted in the Department is an asset. For more information about the Department, please visit our website at http://www.math.ualberta.ca/.
We are looking for specialists in any of the areas of geometric functional analysis including asymptotic theory of normed spaces and high-dimensional convex geometry, related probabilistic methods, geometric inequalities and concentration inequalities, and related discrete mathematics aspects. Current research strengths in the analysis group of the Department include asymptotic geometric analysis, abstract harmonic analysis, Banach spaces, Banach algebras and Banach lattices, operator theory, approximation theory, Fourier and wavelet analysis.
Alberta is one of the leading Mathematics Departments in Canada and has strong connections with other mathematical institutes, such as the Pacific Institute for the Mathematical Sciences (PIMS), Mathematics of Information Technology and Complex Systems (MITACS), and the Banff International Research Station (BIRS).
Applications should include a curriculum vitae, a research statement, a teaching profile outlining experience and/or interests, and at least three confidential letters of reference.
The closing date for applications is November 16, 2007, or until a suitable candidate is found. Early applications are encouraged.
Interested applicants may apply to:
Arturo Pianzola, Chair Department of Mathematical and Statistical Sciences University of Alberta Edmonton, Alberta, Canada T6G 2G1
Email: chairsec@math.ualberta.ca
All qualified candidates are encouraged to apply; however, Canadians and permanent residents will be given priority. If suitable Canadian citizens or permanent residents cannot be found, other individuals will be considered.
The University of Alberta hires on the basis of merit. We are committed to the principle of equity in employment. We welcome diversity and encourage applications from all qualified women and men, including persons with disabilities, members of visible minorities, and Aboriginal persons.
---------------------------------------------------------------------------
-
Dale Alspach -
Nicole Tomczak-Jaegermann