On Locally m-Convex Algebras
โ Scribed by B. D. Malviya
- Publisher
- John Wiley and Sons
- Year
- 1974
- Tongue
- English
- Weight
- 326 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0025-584X
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๐ SIMILAR VOLUMES
## Abstract We consider locally __p__โconvex algebras the bornologies of which coincide with the ones of __p__โnormed or multiplicatively __p__โconvex topologies. Two new classes of these algebras are introduced here. (ยฉ 2004 WILEYโVCH Verlag GmbH & Co. KGaA, Weinheim)
## Abstract The following problems are investigated: (1) The existence of wellโbehaved โ๏ธโrepresentations on a โ๏ธโalgebra ๐ equipped with an unbounded __m__ \*โseminorm __p__ , in terms of nonโzero __p__ โcontinuous representable (positive) linear functionals on the domain ๐(__p__ ) of __p__ . (2)
## Abstract In the present paper we introduce a new definition for the Fourier space __A__ (__K__) of a locally compact Hausdorff hypergroup __K__ and prove that it is a Banach subspace of __B__ (__K__). This definition coincides with that of Amini and Medghalchi in the case where __K__ is a tensor