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The Peetre "plus-minus" interpolation spaces $\left\langleA_{0},A_{1}\right\rangle _{\theta}$ are defined variously via conditions aboutthe unconditional convergence of certain Banach space valued series whose termshave coefficients which are powers of 2 or, alternatively, powers of $e$. Itmay seem intuitively obvious that using powers of 2, or of $e$, or powers ofsome other constant number greater than 1 in such definitions should producethe same space to within equivalence of norms. To allay any doubts, we hereoffer an explicit proof of this fact, via a "continuous" definition of the samespaces where integrals replace the above mentioned series. This apparently newdefinition, which is also in some sense a "limiting case" of the abovementioned "discrete" definitions, may be relevant in the study of theconnection between the Peetre "plus-minus" interpolation spaces and Calderoncomplex interpolation spaces when both the spaces of the underlying couple areare Banach lattices on the same measure space. Related results can probably beobtained for the Gustavsson-Peetre variant of the "plus-minus" spaces.

Some alternative definitions for the "plus-minus" interpolation spaces $\left\langle A_{0},A_{1}\right\rangle _{\theta}$ of Jaak Peetre