Flows and noncommuting projections on Hilbert space
نویسندگان
چکیده
منابع مشابه
Completely Positive Projections on a Hilbert Space
The purpose of this paper is to prove that a completely positive projection on a Hilbert space associated with a standard form of a von Neumann algebra induces the existence of a conditional expectation of the von Neumann algebra with respect to a normal state, and we consider the application to a standard form of an injective von Neumann algebra.
متن کاملManifolds of Hilbert Space Projections
The Hardy space H(R) for the upper half plane together with a multiplicative group of unimodular functions u(λ) = exp(i(λ1ψ1 + · · · + λnψn)), λ ∈ R, gives rise to a manifold M of orthogonal projections for the subspaces u(λ)H(R) of L(R). For classes of admissible functions ψi the strong operator topology closures of M and M ∪M⊥ are determined explicitly as various n-balls and n-spheres. The ar...
متن کاملIterated Products of Projections in Hilbert Space
JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. Mathematical Association of America is collaborating with ...
متن کاملOn pairs of generalized and hypergeneralized projections on a Hilbert space
In this paper, we characterize generalized and hypergeneralized projections (bounded linear operators which satisfy conditions A = A∗ and A = A†). We give their matrix representations and examine under what conditions the product, difference and sum of these operators are operators of the same class.
متن کاملThe Combinatorics of Nonlinear Controllability and Noncommuting Flows
These notes accompany four lectures, giving an introduction to new developments in, and tools for problems in nonlinear control. Roughly speaking, after the successful development, starting in the 1960s, of methods from linear algebra, complex analysis and functional analysis for solving linear control problems, the 1970s and 1980s saw the emergence of differential geometric tools that were to ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1955
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1955.5.1