Inequalities involving Hadamard product for sector matrices

Important inequalities for some operator mean inequalities involving Hadamard product have been proved, recently. In this paper, we extend these inequalities to inequalities for sector matrices which involve the mean of sector matrices, the positive linear maps and operator monotone functions

Schur multiplier operator and matrix inequalities

In this note we obtain a reverse version of the Haagerup Theorem. In particular, if $A \in \mathbb{M}_{n}$ has a $2\times2-$ principal submatrix as $\left[ \begin{array}{cc}1& \alpha \\\beta & 1\\\end{array}\right]$ with $\beta \neq \bar{\alpha},$ then $\Vert S_{A} \Vert > 1$ where the operator $S_{A}:\mathbb{M}_{n}\longrightarrow \mathbb{M}_{n}$ is defined by $S_{A}(B) := A \circ B$ where $"\circ "$ stands for Schur product

Poly (4-vinylpyridine) and polyaniline: As efficient and commercial available basic catalysts for the synthesis of N-amino-2-pyridones under thermal conditions or microwave irradiation

Poly (4-vinylpyridine) and polyaniline as highly effective base catalysts have catalyzed the three-component reaction of an appropriate aldehyde, cyanoacetic acid hydrazide and malononitrile to prepare of the corresponding N-amino-2-pyridone derivatives. These reactions occur in ethanol at reflux or under microwave heating, in the presence of the base catalysts, are inexpensive and easily obtained with consistent activity

Bis[N-cyclohexyl-1-(2-{1-[(cyclohexyl­amino)carbonyl]cyclohexyl}-3,5-dioxo-1,2-oxazolidin-4-yl)cyclopentanecarbox­amide] monohydrate

The reaction of cyclo­hexyl isocyanide and alkyl­idene Meldrum’s acid (systematic name 2,2-dimethyl-1,3-dioxane-4,6-dione) in the presence of cyclo­hexyl ketoxime and dichloro­methane as solvent resulted in the title compound, 2C28H43N3O5·H2O. One methyl­ene group of the cyclo­pentane ring was found to be disordered and was refined with occupancies 0.75:0.25. Intra­molecular N—H⋯O hydrogen bonds occur. The crystal structure is stabilized by inter­molecular N—H⋯O and O—H⋯O hydrogen bonds

A convenient one-pot synthesis of novel tetraamides via 2-cyclopentylidenemalonic acid based Ugi-four component reaction

AbstractA mild and efficient Ugi four component condensation reaction was developed among aromatic aldehydes, aromatic amines, isocyanides and 2-cyclopentylidenemalonic acid to prepare a new series of N1,N3-bis((cyclohexylcarbamoyl)(phenyl)methyl)-2-cyclopentylidene-N1,N3-diphenylmalonamide derivatives. These one-pot reactions led to the construction of four amide groups with easy recovery of the desired products

Design and effective synthesis of novel furo[2,3-d]pyrimidine derivatives containing ethylene ether spacers

[1+4] Cycloaddition reaction of ethylene ether-based N,N-dimethybenzylidenebarbituric acid with alkyl isocyanide in DMF produced novel high substituted furo[2,3-d]pyrimidine derivatives containing ether spacers under mild reaction conditions. The structures of the products were deduced from their IR, 1H NMR, and 13C NMR spectroscopy. Good antibacterial activity was found in compound 5c

Design and effective synthesis of novel furo[2,3-d]pyrimidine derivatives containing ethylene ether spacers

Abstract[1+4] Cycloaddition reaction of ethylene ether-based N,N-dimethybenzylidenebarbituric acid with alkyl isocyanide in DMF produced novel high substituted furo[2,3-d]pyrimidine derivatives containing ether spacers under mild reaction conditions. The structures of the products were deduced from their IR, 1H NMR, and 13C NMR spectroscopy. Good antibacterial activity was found in compound 5c