On Kazhdan's Property (T) for the special linear group of holomorphic functions

We investigate when the group $SL_n(\mathcal{O}(X))$ of holomorphic maps from a Stein space $X$ to SL_n (\C) has Kazhdan's property (T) for $n\ge 3$. This provides a new class of examples of non-locally compact groups having Kazhdan's property (T). In particular we prove that the holomorphic loop group of SL_n (\C) has Kazhdan's property (T) for $n\ge 3$. Our result relies on the method of Shalom to prove Kazhdan's property (T) and the solution to Gromov's Vaserstein problem by the authors.Comment: 5 page

On the behavior of strictly plurisubharmonic functions near real hypersurfaces

We describe the behavior of certain strictly plurisubharmonic functions near some real hypersurfaces in ℂ n , n≥3. Given a hypersurface we study continuous plurisubharmonic functions which are zero on the hypersurface and have Monge-Ampère mass greater than one in a one-sided neighborhood of the hypersurface. If we can find complex curves which have sufficiently high contact order with the hypersurface then the plurisubharmonic functions we study cannot be globally Lipschitz in the one-sided neighborhoo

Factorization of symplectic matrices into elementary factors

We prove that a symplectic matrix with entries in a ring with Bass stable rank one can be factored as a product of elementary symplectic matrices. This also holds for null-homotopic symplectic matrices with entries in a Banach algebra or in the ring of complex valued continuous functions on a finite dimensional normal topological space.Comment: 9 page

The Blow-up Rate of Solutions to Boundary Blow-up Problems for the Complex Monge-Ampère Operator

A regularity result for solutions to boundary blow-up problems for the complex Monge-Ampère operator in balls in $$\mathbb{C}^n$$ is proved. For certain boundary blow-up problems on bounded, strongly pseudoconvex domains in $${\mathbb C}^n$$ with smooth boundary an estimate of the blow-up rate of solutions are given in terms of the distance to the boundary and the product of the eigenvalues of the Levi for

Waiting for a heart or lung transplant: Relatives' experience of information and support.

To describe the relatives' experiences of information and support while heart or lung transplant candidates were waiting for a transplantation

Актуальные проблемы учета неиспользуемого имущества

Материалы XII Междунар. науч. конф. студентов, магистрантов, аспирантов и молодых ученых, Гомель, 16–17 мая 2019 г

Perceptions of received information, social support, and coping in patients with pulmonary arterial hypertension or chronic thromboembolic pulmonary hypertension.

Patients with a life-limiting diagnosis of pulmonary arterial hypertension (PAH) or chronic thromboembolic pulmonary hypertension (CTEPH) need disease-specific information, ability to cope, and functioning social networks. This cohort study investigated the experiences of PAH and CTEPH patients who received information about their diagnosis, treatment, and management, in addition to coping and social support. Sixty-eight adult patients (mean ± SD, age 67 ± 14; 66% women) were included. A total of 54% of the patients wanted more information. Patients received information mostly in areas concerning medical test procedures, the diagnosis, disease severity, possible disease causes, and how to manage their disease. Coping ability was significantly better in patients who were satisfied with the received information (P = 0.0045). The information given to PAH or CTEPH patients and their communication with healthcare professionals can be greatly improved. Gaps in information and misunderstandings can be avoided by working in cooperation with the patients, their relatives, and within the PAH team

An interpolation theorem for proper holomorphic embeddings

Given a Stein manifold X of dimension n>1, a discrete sequence a_j in X, and a discrete sequence b_j in C^m where m > [3n/2], there exists a proper holomorphic embedding of X into C^m which sends a_j to b_j for every j=1,2,.... This is the interpolation version of the embedding theorem due to Eliashberg, Gromov and Schurmann. The dimension m cannot be lowered in general due to an example of Forster