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Stability conditions and extremal contractions     Stability conditions  extremal contractions  Algebraic Geometry       font style='font-size:12px;'> 2012/4/18
We show that any extremal contraction from a smooth projective variety with dimension less than or equal to three appears as a moduli space of (semi)stable objects in the derived category of coherent ...
Contracting planar graphs to contractions of triangulations     planar graph  dual graph  contraction  topological minor       font style='font-size:12px;'> 2011/1/20
For every graph H, there exists a polynomial-time algorithm deciding if a planar input graph G can be contracted to H. However, the degree of the polynomial depends on the size of H. In this paper, we...
In this paper we introduce a notion called cyclically complete pair for a pair (A,B) of subsets of a metric space. A necessary condition is given for a cyclic contraction T on A ∪ B to have a unique ...
Numerical ranges of $C_0(N)$ contractions      Contraction  unitary dilation  numerical range       font style='font-size:12px;'> 2010/12/3
A conjecture of Halmos proved by Choi and Li states that the closure of the numerical range of a contraction on a Hilbert space is the intersection of the closure of the numerical ranges of all its un...
We exhibit large classes of contractions on noncommutative Lp-spaces which satisfy the non- commutative analogue of Matsaev’s conjecture, introduced by V.V. Peller.
Contractions of Filippov algebras           font style='font-size:12px;'> 2010/11/29
We introduce in this paper the contractions Gc of n-Lie (or Filippov) algebras G and show that they have a semidirect structure as their n = 2 Lie algebra counterparts.As an example, we compute the no...
Fixed point theorems for the generalized C-contractions     Probabilistic metric space  Fuzzy metric space       font style='font-size:12px;'> 2010/9/14
In this paper, by using the concept of p-convergency we obtain two fixed point theorems for (q1, q2)-contraction of (, λ)-type and generalized C-contraction.
In this paper, we study the properties of τ 0-metrics introduced and studied by Du [1], and establish a new fixed point theorem and convergence theorem for τ 0-metrics.
In the present paper we prove that the mixing property of positive L1-contraction of finite von Neumann algebras implies the property of complete mixing.
A line bundle with a base-point-free multiple is called semiample. I give a cohomological characterization of semiample line bundles. The result is a common generalization of the Fujita-Zariski criter...

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