Refinements of Inequalities Related to Landau–Grüss Inequalities for Elementary Operators Acting on Ideals Associated to p-Modified Unitarily Invariant Norms

Grüss-Landau inequalities for elementary operators and inner product type transformers in Q and Q* norm ideals of compact operators

“…where we used the very definition (3) of weak * (or Gel'fand) integral to estimate the middle expression in (4), to justify the last inequality in (9). Now, by taking As…”

The applications of Cauchy-Schwartz inequality for Hilbert modules to elementary operators and i.p.t.i. transformers

“…Applying other inequalities from section 3, we can derive other results from [8]. Also, applying inequality | x, ay | 2 ≤ x 2 ay, ay to the mapping Φ instead of •, • we obtain the key result of [7], there proved by complicated identities.…”

“…type transformers. The aim of this paper is two give an easy and elementary proof of those proved in [4,5,6,7,8,9,10] and [15] using the Cauchy Schwartz inequality for Hilbert C * -modules -the inequality stated in the abstract, which also generalizes all of them.…”