منابع مشابه
On Baer type criterion for $C$-dense, $C$-closed and quasi injectivity
For the subclasses $mathcal{M}_1$ and $mathcal{M}_2$ of monomorphisms in a concrete category $mathcal{C}$, if $mathcal{M}_2subseteq mathcal{M}_1$, then $mathcal{M}_1$-injectivity implies $mathcal{M}_2$-injectivity. The Baer type criterion is about the converse of this fact. In this paper, we apply injectivity to the classes of $C$-dense, $C$-closed monomorphisms. The con...
متن کاملK1-injectivity for Properly Infinite C ∗-algebras
One of the main tools to classify C∗-algebras is the study of its projections and its unitaries. It was proved by Cuntz in [Cun81] that if A is a purely infinite simple C∗-algebra, then the kernel of the natural map for the unitary group U(A) to the Ktheory groupK1(A) is reduced to the connected component U(A), i.e. A isK1-injective (see §3). We study in this note a finitely generated C∗-algebr...
متن کاملInjectivity Criteria for Holomorphic Curves in C
Combining the definition of Schwarzian derivative for conformal mappings between Riemannian manifolds given by Osgood and Stowe with that for parametrized curves in Euclidean space given by Ahlfors, we establish injectivity criteria for holomorphic curves φ : D → C. The result can be considered a generalization of a classical condition for univalence of Nehari.
متن کاملon baer type criterion for $c$-dense, $c$-closed and quasi injectivity
for the subclasses ${mathcal m}_1$ and ${mathcal m}_2$ ofmonomorphisms in a concrete category $mathcal c$, if ${mathcalm}_2subseteq {mathcal m}_1$, then ${mathcal m}_1$-injectivityimplies ${mathcal m}_2$-injectivity. the baer type criterion is about the converse of this fact. in this paper, we apply injectivity to the classes of {it $c$-dense, $c$-closed} monomorphisms. ...
متن کاملc-Frames and c-Bessel mappings
The theory of c-frames and c-Bessel mappings are the generalizationsof the theory of frames and Bessel sequences. In this paper, weobtain several equivalent conditions for dual of c-Bessel mappings.We show that for a c-Bessel mapping $f$, a retrievalformula with respect to a c-Bessel mapping $g$ is satisfied if andonly if $g$ is sum of the canonical dual of $f$ with a c-Besselmapping which wea...
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: Hiroshima Mathematical Journal
سال: 2007
ISSN: 0018-2079
DOI: 10.32917/hmj/1200529809