On the Spectrum of Hilbert Matrix Operator

Operator-valued bases on Hilbert spaces

In this paper we develop a natural generalization of Schauder basis theory, we term operator-valued basis or simply ov-basis theory, using operator-algebraic methods. We prove several results for ov-basis concerning duality, orthogonality, biorthogonality and minimality. We prove that the operators of a dual ov-basis are continuous. We also dene the concepts of Bessel, Hilbert ov-basis and obta...

Operator Extensions on Hilbert Space

Closure Operator on Hilbert Algebras

In this paper, we introduce closure operator(c) on Hilbert algebra H and study the properties of c. Then we state the relation between c and uniform topology on H. Mathematics Subject Classification: 03G25, 54E15

On the Hilbert Matrix, Ii1

where the best possible constant Mk is it for k ^ 1/2 and ir\ csc irk\ for 1/2 <k. Thus, when considered as a linear operator on the complex sequential Hilbert space l2, Hk is a bounded symmetric operator. Magnus [8] showed that the l2 spectrum of H0 is purely continuous and consists of the interval [0, it]. In this note we shall exhibit for each real k a monotone function pk(\) and an isometri...

survey on the rule of the due & hindering relying on the sheikh ansaris ideas

قاعده مقتضی و مانع در متون فقهی کم و بیش مستند احکام قرار گرفته و مورد مناقشه فقهاء و اصولیین می باشد و مشهور معتقند مقتضی و مانع، قاعده نیست بلکه یکی از مسائل ذیل استصحاب است لذا نگارنده بر آن شد تا پیرامون این قاعده پژوهش جامعی انجام دهد. به عقیده ما مقتضی دارای حیثیت مستقلی است و هر گاه می گوییم مقتضی احراز شد یعنی با ماهیت مستقل خودش محرز گشته و قطعا اقتضاء خود را خواهد داشت مانند نکاح که ...