Composition operator induced by ?(z) = sz + t for which |s|?1,  |t|<1 and |s|+|t|?1

Samira Naji  Kadhim

doi:10.21123/bsj.2010.7.3.1266-1269

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Publication Date

Sun Sep 05 2010

Journal Name

Baghdad Science Journal

Volume

7

Issue Number

3

DOI

10.21123/bsj.2010.7.3.1266-1269

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Composition operator induced by ?(z) = sz + t for which |s|?1, |t|<1 and |s|+|t|?1

"composition operator

toeplitz operator

compact operator"

Samira Naji Kadhim

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We study in this paper the composition operator that is induced by ?(z) = sz + t. We give a characterization of the adjoint of composiotion operators generated by self-maps of the unit ball of form ?(z) = sz + t for which |s|?1, |t|<1 and |s|+|t|?1. In fact we prove that the adjoint is a product of toeplitz operators and composition operator. Also, we have studied the compactness of C? and give some other partial results.

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Periodicals Of Engineering And Natural Sciences

Histological and immunohistochemical study of thyroid gland in Caucasian squirrel (Sciurus anamalus) (Gmelin, 1778) by using marker (Anti-Thyroglobulin, Code IR5090)

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Noor

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The current study is designed to investigate the histological and immunohistochemical characteristics of the thyroid gland in adult male Sciurus anamalus. This study found that the thyroid gland of the Caucasian squirrel is located in the neck area, below the larynx, on both sides of the trachea. It has two lobes (right and left) with cylindrical shape. The histological studies revealed that the thyroid gland is surrounded by a capsule which consists of connective tissue and forming of two layers which are outer layer and inner layer, and a layer of adipose tissue appears overlapping the outer layer. The inner tissue of the gland consists of follicles with different shapes and sizes, and is lined with simple cuboidal epithelial tissue (foll

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Effects of Ozonated Water on Micro Leakage between Enamel and Fissure Sealants Prepared by Different Etching Technique (An in vitro Study), Baraa M Jabar*, Muna S Khalaf

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INFLUENCE OF SOME FACTOR ON SOMATIC EMBRYOS INDUCTION AND GERMINATION OF DATE PALM CV BARHI BY USING CELL SUSPENSION CULTURE TECHNIQUEe

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INFLUENCE OF SOME FACTOR ON SOMATIC EMBRYOS INDUCTION AND GERMINATION OF DATE PALM CV BARHI BY USING CELL SUSPENSION CULTURE TECHNIQUEe

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INFLUENCE OF SOME FACTOR ON SOMATIC EMBRYOS INDUCTION AND GERMINATION OF DATE PALM BARHI C.V BY USING CELL SUSPENSION CULTURE TECHNIQUE

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INFLUENCE OF SOME FACTOR ON SOMATIC EMBRYOS INDUCTION AND GERMINATION OF DATE PALM BARHI C.V BY USING CELL SUSPENSION CULTURE TECHNIQUE

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Mohammed T.

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The goal of this investigation is to prepare zinc oxide (ZnO) nano-thin films by pulsed laser deposition (PLD) technique through Q-switching double frequency Nd:YAG laser (532 nm) wavelength, pulse frequency 6 Hz, and 300 mJ energy under vacuum conditions (10-3 torr) at room temperature. (ZnO) nano-thin films were deposited on glass substrates with different thickness of 300, 600 and 900 nm. ZnO films, were then annealed in air at a temperature of 500 °C for one hour. The results were compared with the researchers' previous theoretical study. The XRD analysis of ZnO nano-thin films indicated a hexagonal multi-crystalline wurtzite structure with preferential growth lines (100), (002), (101) for ZnO nano-thin films with different thi

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INFLUENCE OF SOME FACTOR ON SOMATIC EMBRYOS INDUCTION AND GERMINATION OF DATE PALM CV BARHI BY USING CELL SUSPENSION CULTURE TECHNIQUEث‏

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Publication Date

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Journal Name

August

INFLUENCE OF SOME FACTOR ON SOMATIC EMBRYOS INDUCTION AND GERMINATION OF DATE PALM CV BARHI BY USING CELL SUSPENSION CULTURE TECHNIQUE

This study was done to examine different concentrations of mercuric chloride (Hgcl2) for Explants sterilization and different concentration of NAA) mg/L with 2iP for their effect on initiation primary callus and subsequent embryogenesis in Phoenix dactyliferae cultivar Barhi. Leaf primordial and shoot tips were excised from 2-3 years old offshoot. The result showed that contamination percentage decreased with an increase in concentration of Hgcl2 for two explants where in the control (0.0)% gave highest value 75% and 62.5% of contamination for leaf primordial and shoot tip respectively while the addition (0.1)% gave a significant decrease 37.5 and 0% for explants respectively. The Explants were inoculated onto Murashiege and Skoog

1962 (MS) medium supplemented with 2iP 3mg/L and containing 0

25

50 or 100 mg/L of NAA

the addition (50) mg/L of NAA gave highest value 68.8% in percentage of callus initiation with significant difference from addition 0% gave lowest value (18.8)%

as well Explants of shoot tip gave significant difference was 53.1% while leaf primordial gave 28.1%

Primary callus was transferred to fresh MS medium containing (0

5

10 and 20) mg/L of NAA with 3mg/L 2iP

Results were recorded after 12 weeks. A highest value of embryonic callus induction percentage or fresh weight and dry weight 87.5% or 1.56g and 0.47g for the character respectively for the treat 20 mg/L while control treatment 0.0 gave the lowest value 12.5% or 0.37g and 0.14g for same character respectively. Inoculated 1g fresh biomass into a 250 ml Erlenmeyer flask containing 50 ml MS liquid medium supplemented with NAA 20mg/L and agitated at 150 rpm by shaker to making suspension culture the measurements of packed cell volume ( pcv) or fresh and dry weight taken weekly for 12 weeks

maximum values were reached in the eighth week of PCV and fresh weight but the dry weight reached to highest value in seventh week

then the curve began to decline gradually until it reached stability in the last two weeks. The cell suspension was Diluted to different initial cell density of 100

500

10000

50000 and 100000 cells /ml with hemocytometer. The initial cell number of (10000) cells gave significant different of plating efficiency PE (11.6)% while (100) cells gave lowest value 1.8% of PE.

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