Power-norms based on Hilbert $$C^*$$-modules
نویسندگان
چکیده
Suppose that $${\mathscr {E}}$$ and {F}}$$ are Hilbert $$C^*$$ -modules. We present a power-norm $$\left( \left\| \cdot \right\| ^{{\mathscr {E}}}_n:n\in {\mathbb {N}}\right) $$ based on obtain some of its fundamental properties. introduce new definition the absolutely (2, 2)-summing operators from to , denote set such by $${\tilde{\Pi }}_2({\mathscr {E}},{\mathscr {F}})$$ with convention {E}})={\tilde{\Pi {E}})$$ . It is known class all Hilbert–Schmidt space {H}}$$ same as {H}})$$ show introduced Frank Larson coincides for countably generated -module over unital commutative -algebra. These results motivate us investigate properties
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ژورنال
عنوان ژورنال: Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-matematicas
سال: 2022
ISSN: ['1578-7303', '1579-1505']
DOI: https://doi.org/10.1007/s13398-022-01341-2