Gradient Inequalities for an Integral Transform of Positive Operators in Hilbert Spaces

For a continuous and positive function w (λ) , λ > 0 and µ a positive measure on (0, ∞) we consider the following integral transform (w,μ)(T):=∫0∞w(λ)(λ+T)-1dμ(λ),\mathcal{D}\left( {w,\mu } \right)\left( T \right): = \int_0^\infty {w\left( \lambda \right){{\left( {\lambda + T} \right)}^{ - 1}}d...

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第一著者:	Dragomir Silvestru Sever
フォーマット:	Artigo
言語:	Inglês
出版事項:	Sciendo 2023-09-01
シリーズ:	Annales Mathematicae Silesianae
主題:	operator monotone functions operator convex functions operator inequalities löwner–heinz inequality logarithmic operator inequalities 47a63 47a60
オンライン･アクセス:	https://doi.org/10.2478/amsil-2023-0008
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