Analysis on matrix space and certain Siegel domains

1977 ◽  
pp. 283-290
Author(s):  
Kenneth I. Gross ◽  
Ray A. Kunze
Keyword(s):  
Matrix Space ◽  
Siegel Domains

Interval oscillation criteria for self-adjoint matrix Hamiltonian systems

2005 ◽  
Vol 135 (5) ◽  
pp. 1085-1108 ◽  
Author(s):  
Qigui Yang ◽  
Yun Tang
Keyword(s):  
Hamiltonian Systems ◽  
Half Line ◽  
Linear Functionals ◽  
Matrix Space ◽  
Differential Systems ◽  
Adjoint Matrix ◽  
Oscillation Criteria ◽  
Positive Linear Functionals ◽  
Interval Oscillation ◽  
New Criteria

By using a monotonic functional on a suitable matrix space, some new oscillation criteria for self-adjoint matrix Hamiltonian systems are obtained. They are different from most known results in the sense that the results of this paper are based on information only for a sequence of subintervals of [t0, ∞), rather than for the whole half-line. We develop new criteria for oscillations involving monotonic functionals instead of positive linear functionals or the largest eigenvalue. The results are new, even for the particular case of self-adjoint second-differential systems which can be applied to extreme cases such as

The heat equation on a matrix space

2007 ◽  
Vol 142 (6) ◽  
pp. 2671-2681
Author(s):  
S. P. Khekalo
Keyword(s):  
Heat Equation ◽  
Matrix Space

Delivery of cytosolic liver arginase into the mitochondrial matrix space: A possible novel site for gene replacement therapy

1996 ◽  
Vol 22 (6) ◽  
pp. 489-498 ◽  
Author(s):  
Paul B. Wissmann ◽  
Barbara K. Goodman ◽  
Joseph G. Vockley ◽  
Rita M. Kern ◽  
Stephen D. Cederbaum ◽  
...  
Keyword(s):  
Replacement Therapy ◽  
Gene Replacement ◽  
Mitochondrial Matrix ◽  
Matrix Space ◽  
Gene Replacement Therapy

scholarly journals Strategi Menyiasati Perubahan Bisnis: Kasus BMT Al-Ittihad

2018 ◽  
Vol 6 (1) ◽  
pp. 52-62
Author(s):  
Nofrizal Nofrizal ◽  
Prama Widayat
Keyword(s):  
Vertical Integration ◽  
Research Method ◽  
Business Environment ◽  
Market Development ◽  
Market Penetration ◽  
Internal Environment ◽  
Horizontal Integration ◽  
Matrix Space ◽  
The Future ◽  
Space Matrix

This research aims to formulate and select BMT Al- Ittihad Rumbai strategy to face the changing of business environment both from internal environment such as organization resources, finance, member and external  business such as competitor, economy, politics and others. This research method used Analysis of EFAS, IFAS, IE Matrix, SWOT-8K Matrix, SPACE Matrix and TWOS Matrix. our hope from this research it can assist BMT Al-Ittihad in formulating and selecting strategies for the sustainability of BMT Al-Ittihad in the future. The sample in this research is manager and leader of BMT Al-Ittihad Rumbai Pekanbaru. The result of this research shows that the position of BMT Al-Ittihad using IE Matrix, SWOT-8K Matrix and SPACE Matrix is in growth position, stabilization and aggressive. The choice of strategy after using TWOS Matrix is market penetration, market development, vertical integration, horizontal integration, and stabilization  

scholarly journals CHONDROGENESIS, STUDIED WITH THE ELECTRON MICROSCOPE

1960 ◽  
Vol 8 (3) ◽  
pp. 719-760 ◽  
Author(s):  
Gabriel C. Godman ◽  
Keith R. Porter
Keyword(s):  
Golgi Apparatus ◽  
Ground Substance ◽  
Cell Cortex ◽  
Matrix Space ◽  
Cytoplasmic Inclusions ◽  
Structural Modifications ◽  
Fetal Rat ◽  
The Matrix ◽  
Connective Tissue Matrix ◽  
Tissue Matrix

The role of the cells in the fabrication of a connective tissue matrix, and the structural modifications which accompany cytodifferentiation have been investigated in developing epiphyseal cartilage of fetal rat by means of electron microscopy. Differentiation of the prechondral mesenchymal cells to chondroblasts is marked by the acquisition of an extensive endoplasmic reticulum, enlargement and concentration of the Golgi apparatus, the appearance of membrane-bounded cytoplasmic inclusions, and the formation of specialized foci of increased density in the cell cortex. These modifications are related to the secretion of the cartilage matrix. The matrix of young hyaline cartilage consists of groups of relatively short, straight, banded collagen fibrils of 10 to 20 mµ and a dense granular component embedded in an amorphous ground substance of moderate electron density. It is postulated that the first phase of fibrillogenesis takes place at the cell cortex in dense bands or striae within the ectoplasm subjacent to the cell membrane. These can be resolved into sheaves of "primary" fibrils of about 7 to 10 mµ. They are supposedly shed (by excortication) into the matrix space between the separating chondroblasts, where they may serve as "cores" of the definitive matrix fibrils. The diameter of the fibrils may subsequently increase up to threefold, presumably by incorporation of "soluble" or tropocollagen units from the ground substance. The chondroblast also discharges into the matrix the electrondense amorphous or granular contents of vesicles derived from the Golgi apparatus, and the mixed contents of large vacuoles or blebs bounded by distinctive double membranes. Small vesicles with amorphous homogeneous contents of moderate density are expelled in toto from the chondroblasts. In their subsequent evolution to chondrocytes, both nucleus and cytoplasm of the chondroblasts undergo striking condensation. Those moving toward the osteogenic plate accumulate increasingly large stores of glycogen. In the chondrocyte, the enlarged fused Golgi vesicles with dense contents, massed in the juxtanuclear zone, are the most prominent feature of the cytoplasm. Many of these make their way to the surface to discharge their contents. The hypertrophied chondrocytes of the epiphyseal plate ultimately yield up their entire contents to the matrix.

KORÁNYI’S LEMMA FOR HOMOGENEOUS SIEGEL DOMAINS OF TYPE II. APPLICATIONS AND EXTENDED RESULTS

2014 ◽  
Vol 90 (1) ◽  
pp. 77-89 ◽  
Author(s):  
DAVID BÉKOLLÉ ◽  
HIDEYUKI ISHI ◽  
CYRILLE NANA
Keyword(s):  
Functional Analysis ◽  
Bergman Kernel ◽  
Atomic Decomposition ◽  
Bergman Spaces ◽  
Decomposition Theorem ◽  
Interpolation Theorem ◽  
Type Ii ◽  
Siegel Domain ◽  
Homogeneous Case ◽  
Siegel Domains

AbstractWe show that the modulus of the Bergman kernel $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}B(z, \zeta )$ of a general homogeneous Siegel domain of type II is ‘almost constant’ uniformly with respect to $z$ when $\zeta $ varies inside a Bergman ball. The control is expressed in terms of the Bergman distance. This result was proved by A. Korányi for symmetric Siegel domains of type II. Subsequently, R. R. Coifman and R. Rochberg used it to establish an atomic decomposition theorem and an interpolation theorem by functions in Bergman spaces $A^p$ on these domains. The atomic decomposition theorem and the interpolation theorem are extended here to the general homogeneous case using the same tools. We further extend the range of exponents $p$ via functional analysis using recent estimates.

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