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Information Journal Paper

Title

THE MULTIPLIER ALGEBRA OF THE NONCOMMUTATIVE SCHWARTZ SPACE

Pages

  615-635

Keywords

(FRECHET) M-CONVEX ALGEBRA 
(NONCOMMUTATIVE) SCHWARTZ SPACE 

Abstract

 We describe the multiplier algebra of the non-commutative Schwartz space. This multiplier algebra can be seen as the largest *-algebra of unbounded operators on a separable Hilbert space with the classical Schwartz space of rapidly decreasing functions as the domain. We show in particular that it is neither a Q-algebra nor mm-convex. On the other hand, we prove that classical tools of functional analysis, for example, the closed graph theorem, the open mapping theorem, or the uniform bounded-ness principle, are still available.

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    • Cite

    APA: Copy

    CIAS, TOMASZ, & PISZCZEK, KRZYSZTOF. (2017). THE MULTIPLIER ALGEBRA OF THE NONCOMMUTATIVE SCHWARTZ SPACE. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 11(3), 615-635. SID. https://sid.ir/paper/317098/en

    Vancouver: Copy

    CIAS TOMASZ, PISZCZEK KRZYSZTOF. THE MULTIPLIER ALGEBRA OF THE NONCOMMUTATIVE SCHWARTZ SPACE. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2017;11(3):615-635. Available from: https://sid.ir/paper/317098/en

    IEEE: Copy

    TOMASZ CIAS, and KRZYSZTOF PISZCZEK, “THE MULTIPLIER ALGEBRA OF THE NONCOMMUTATIVE SCHWARTZ SPACE,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 11, no. 3, pp. 615–635, 2017, [Online]. Available: https://sid.ir/paper/317098/en

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